https://wiki.geogebra.org/s/de/index.php?title=TaylorReihe_(Befehl)&feed=atom&action=history
TaylorReihe (Befehl) - Versionsgeschichte
2024-03-28T14:41:30Z
Versionsgeschichte dieser Seite in GeoGebra Manual
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https://wiki.geogebra.org/s/de/index.php?title=TaylorReihe_(Befehl)&diff=11888&oldid=prev
Zbynek: Textersetzung - „;([^\n]*)\[(.*)\]“ durch „;$1($2)“
2017-10-07T15:49:06Z
<p>Textersetzung - „;([^\n]*)\[(.*)\]“ durch „;$1($2)“</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 7. Oktober 2017, 15:49 Uhr</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{command|cas=true|function|TaylorReihe}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{command|cas=true|function|TaylorReihe}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>; TaylorReihe<del class="diffchange diffchange-inline">[ </del><Funktion>, <x-Wert>, <Grad> <del class="diffchange diffchange-inline">]</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>; TaylorReihe<ins class="diffchange diffchange-inline">( </ins><Funktion>, <x-Wert>, <Grad> <ins class="diffchange diffchange-inline">)</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion an der Stelle ''x = x-Wert'' vom gegebene Grad.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion an der Stelle ''x = x-Wert'' vom gegebene Grad.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example| 1=<div><code><nowiki>TaylorReihe[x^2, 3, 1]</nowiki></code> gibt ''9 + 6 (x - 3)''.</div>}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example| 1=<div><code><nowiki>TaylorReihe[x^2, 3, 1]</nowiki></code> gibt ''9 + 6 (x - 3)''.</div>}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==CAS-Ansicht==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==CAS-Ansicht==</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>; TaylorReihe<del class="diffchange diffchange-inline">[ </del><Funktion>, <x-Wert>, <Grad> <del class="diffchange diffchange-inline">]</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>; TaylorReihe<ins class="diffchange diffchange-inline">( </ins><Funktion>, <x-Wert>, <Grad> <ins class="diffchange diffchange-inline">)</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion an der Stelle ''x = x-Wert'' vom gegebenen Grad.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion an der Stelle ''x = x-Wert'' vom gegebenen Grad.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example| 1=<div><code><nowiki>TaylorReihe[x^2, a, 1]</nowiki></code> gibt ''a<sup>2</sup> + 2a (x - a)''.</div>}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example| 1=<div><code><nowiki>TaylorReihe[x^2, a, 1]</nowiki></code> gibt ''a<sup>2</sup> + 2a (x - a)''.</div>}}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>; TaylorReihe<del class="diffchange diffchange-inline">[ </del><Funktion>, <Variable>, <Variablenwert>, <Grad> <del class="diffchange diffchange-inline">]</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>; TaylorReihe<ins class="diffchange diffchange-inline">( </ins><Funktion>, <Variable>, <Variablenwert>, <Grad> <ins class="diffchange diffchange-inline">)</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion in mehreren Variablen für die gegebene Variable an der Stelle ''x = Variablenwert'' vom gegebenen Grad.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion in mehreren Variablen für die gegebene Variable an der Stelle ''x = Variablenwert'' vom gegebenen Grad.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example| 1=<div></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example| 1=<div></div></td></tr>
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Zbynek
https://wiki.geogebra.org/s/de/index.php?title=TaylorReihe_(Befehl)&diff=11143&oldid=prev
Markus.winkler: update
2015-10-01T09:29:36Z
<p>update</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 1. Oktober 2015, 09:29 Uhr</td>
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<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Manual Page|version=<del class="diffchange diffchange-inline">4</del>.<del class="diffchange diffchange-inline">2</del>}}</noinclude>{{command|cas=true|function|TaylorReihe}}</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Manual Page|version=<ins class="diffchange diffchange-inline">5</ins>.<ins class="diffchange diffchange-inline">0</ins>}}</noinclude></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{command|cas=true|function|TaylorReihe}}</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>; TaylorReihe[ <Funktion>, <x-Wert>, <Grad> ]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>; TaylorReihe[ <Funktion>, <x-Wert>, <Grad> ]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion an der Stelle ''x = x-Wert'' vom gegebene Grad.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion an der Stelle ''x = x-Wert'' vom gegebene Grad.</div></td></tr>
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Markus.winkler
https://wiki.geogebra.org/s/de/index.php?title=TaylorReihe_(Befehl)&diff=7859&oldid=prev
JohannaZ am 9. August 2013 um 10:59 Uhr
2013-08-09T10:59:05Z
<p></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 9. August 2013, 10:59 Uhr</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Manual Page|version=4.2}}</noinclude>{{command|cas=true|function|TaylorReihe}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Manual Page|version=4.2}}</noinclude>{{command|cas=true|function|TaylorReihe}}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>;TaylorReihe[ <Funktion>, <x-Wert <del class="diffchange diffchange-inline">a</del>>, <Grad <del class="diffchange diffchange-inline">n</del>> ]</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>; TaylorReihe[ <Funktion>, <x-Wert>, <Grad> ]</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion an der Stelle ''x = <del class="diffchange diffchange-inline">a</del>'' vom Grad <del class="diffchange diffchange-inline">''n''</del>.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion an der Stelle ''x = <ins class="diffchange diffchange-inline">x-Wert</ins>'' vom <ins class="diffchange diffchange-inline">gegebene </ins>Grad.</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>:{{example| 1=<div><code><nowiki>TaylorReihe[x^2, 3, 1]</nowiki></code> gibt ''6 x - <del class="diffchange diffchange-inline">9</del>''.</div>}}</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:{{example| 1=<div><code><nowiki>TaylorReihe[x^2, 3, 1]</nowiki></code> gibt ''<ins class="diffchange diffchange-inline">9 + </ins>6 <ins class="diffchange diffchange-inline">(</ins>x - <ins class="diffchange diffchange-inline">3)</ins>''.</div>}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==CAS-Ansicht==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==CAS-Ansicht==</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>;TaylorReihe[ <Funktion>, <x-Wert <del class="diffchange diffchange-inline">a</del>>, <Grad <del class="diffchange diffchange-inline">n</del>> ]</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>; TaylorReihe[ <Funktion>, <x-Wert>, <Grad> ]</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion an der Stelle ''x = <del class="diffchange diffchange-inline">a</del>'' vom Grad <del class="diffchange diffchange-inline">''n''</del>.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion an der Stelle ''x = <ins class="diffchange diffchange-inline">x-Wert</ins>'' vom <ins class="diffchange diffchange-inline">gegebenen </ins>Grad.</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>:{{example| 1=<div><code><nowiki>TaylorReihe[x^2, a, 1]</nowiki></code> gibt ''<del class="diffchange diffchange-inline">-</del>a<sup>2</sup> + <del class="diffchange diffchange-inline">2 </del>a <del class="diffchange diffchange-inline">x</del>''.</div>}}</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:{{example| 1=<div><code><nowiki>TaylorReihe[x^2, a, 1]</nowiki></code> gibt ''a<sup>2</sup> + <ins class="diffchange diffchange-inline">2a (x - </ins>a<ins class="diffchange diffchange-inline">)</ins>''.</div>}}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>;TaylorReihe[ <Funktion>, <Variable <del class="diffchange diffchange-inline">v</del>>, <Variablenwert <del class="diffchange diffchange-inline">a</del>>, <Grad <del class="diffchange diffchange-inline">n</del>> ]</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>; TaylorReihe[ <Funktion>, <Variable>, <Variablenwert>, <Grad> ]</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion in mehreren Variablen für die gegebene Variable an der Stelle ''<del class="diffchange diffchange-inline">v </del>= <del class="diffchange diffchange-inline">a</del>'' vom Grad <del class="diffchange diffchange-inline">''n''</del>.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion in mehreren Variablen für die gegebene Variable an der Stelle ''<ins class="diffchange diffchange-inline">x </ins>= <ins class="diffchange diffchange-inline">Variablenwert</ins>'' vom <ins class="diffchange diffchange-inline">gegebenen </ins>Grad.</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>:{{example| 1=<div><code><nowiki>TaylorReihe[x^3 sin(y), x, 3, 2]</nowiki></code> gibt ''sin(y) (9 x<sup>2</sup> <del class="diffchange diffchange-inline">- 27 x + 27)</del>''.<del class="diffchange diffchange-inline"></div>}}</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:{{example| 1=<div></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>:<del class="diffchange diffchange-inline">{{example| 1=<div></del><code><nowiki>TaylorReihe[x^3 sin(y), y, 3, 2]</nowiki></code> gibt ''<<del class="diffchange diffchange-inline">math</del>><del class="diffchange diffchange-inline">\frac{</del>cos(3) x<del class="diffchange diffchange-inline">^{</del>3<del class="diffchange diffchange-inline">} </del>(<del class="diffchange diffchange-inline">2 </del>y - <del class="diffchange diffchange-inline">6</del>) <del class="diffchange diffchange-inline">+ </del>sin(3) x^<del class="diffchange diffchange-inline">{</del>3} <del class="diffchange diffchange-inline">(-y^</del>{2} <del class="diffchange diffchange-inline">+ 6 </del>y - <del class="diffchange diffchange-inline">7</del>)<del class="diffchange diffchange-inline">}{</del>2<del class="diffchange diffchange-inline">}</del></<del class="diffchange diffchange-inline">math</del>>''.</div>}}</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">:*</ins><code><nowiki>TaylorReihe[x^3 sin(y), x, 3, 2]</nowiki></code> gibt ''<ins class="diffchange diffchange-inline">27 sin(y) + 27 </ins>sin(y) (<ins class="diffchange diffchange-inline">x - 3) + </ins>9 <ins class="diffchange diffchange-inline">sin(y) (</ins>x <ins class="diffchange diffchange-inline">- 3)</ins><sup>2</sup>''.</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{note| 1=Der Grad <del class="diffchange diffchange-inline">n </del>muss eine ganze Zahl größergleich Null sein.}}</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:<ins class="diffchange diffchange-inline">*</ins><code><nowiki>TaylorReihe[x^3 sin(y), y, 3, 2]</nowiki></code> gibt ''<ins class="diffchange diffchange-inline">sin(3) x<sup>3</ins><<ins class="diffchange diffchange-inline">/sup</ins>> <ins class="diffchange diffchange-inline">+ </ins>cos(3) x<ins class="diffchange diffchange-inline"><sup></ins>3<ins class="diffchange diffchange-inline"></sup> </ins>(y - <ins class="diffchange diffchange-inline">3</ins>) <ins class="diffchange diffchange-inline">- <math>\frac{</ins>sin(3) x^3}{2}<ins class="diffchange diffchange-inline"></math> (</ins>y - <ins class="diffchange diffchange-inline">3</ins>)<ins class="diffchange diffchange-inline"><sup></ins>2</<ins class="diffchange diffchange-inline">sup</ins>>''.</div>}}</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{note| 1=Der Grad muss eine ganze Zahl größergleich Null sein.}}</div></td></tr>
</table>
JohannaZ
https://wiki.geogebra.org/s/de/index.php?title=TaylorReihe_(Befehl)&diff=6985&oldid=prev
Zbynek: Textersetzung - „version=4.0“ durch „version=4.2“
2013-03-24T02:45:09Z
<p>Textersetzung - „version=4.0“ durch „version=4.2“</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 24. März 2013, 02:45 Uhr</td>
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<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Manual Page|version=4.<del class="diffchange diffchange-inline">0</del>}}</noinclude>{{command|cas=true|function|TaylorReihe}}</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Manual Page|version=4.<ins class="diffchange diffchange-inline">2</ins>}}</noinclude>{{command|cas=true|function|TaylorReihe}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;TaylorReihe[ <Funktion>, <x-Wert a>, <Grad n> ]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;TaylorReihe[ <Funktion>, <x-Wert a>, <Grad n> ]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion an der Stelle ''x = a'' vom Grad ''n''.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion an der Stelle ''x = a'' vom Grad ''n''.</div></td></tr>
</table>
Zbynek
https://wiki.geogebra.org/s/de/index.php?title=TaylorReihe_(Befehl)&diff=4198&oldid=prev
Bot: Bot: Automatisierte Textersetzung (-{{command +{{command|cas=true)
2011-09-10T12:19:56Z
<p>Bot: Automatisierte Textersetzung (-{{command +{{command|cas=true)</p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 10. September 2011, 12:19 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Zeile 1:</td>
<td colspan="2" class="diff-lineno">Zeile 1:</td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Manual Page|version=4.0}}</noinclude>{{command|function|TaylorReihe}}</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Manual Page|version=4.0}}</noinclude>{{command<ins class="diffchange diffchange-inline">|cas=true</ins>|function|TaylorReihe}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;TaylorReihe[ <Funktion>, <x-Wert a>, <Grad n> ]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;TaylorReihe[ <Funktion>, <x-Wert a>, <Grad n> ]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion an der Stelle ''x = a'' vom Grad ''n''.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion an der Stelle ''x = a'' vom Grad ''n''.</div></td></tr>
</table>
Bot
https://wiki.geogebra.org/s/de/index.php?title=TaylorReihe_(Befehl)&diff=4091&oldid=prev
Alexander Hartl am 5. September 2011 um 12:26 Uhr
2011-09-05T12:26:51Z
<p></p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Nächstältere Version</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 5. September 2011, 12:26 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l11" >Zeile 11:</td>
<td colspan="2" class="diff-lineno">Zeile 11:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example| 1=<div><code><nowiki>TaylorReihe[x^3 sin(y), x, 3, 2]</nowiki></code> gibt ''sin(y) (9 x<sup>2</sup> - 27 x + 27)''.</div>}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example| 1=<div><code><nowiki>TaylorReihe[x^3 sin(y), x, 3, 2]</nowiki></code> gibt ''sin(y) (9 x<sup>2</sup> - 27 x + 27)''.</div>}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example| 1=<div><code><nowiki>TaylorReihe[x^3 sin(y), y, 3, 2]</nowiki></code> gibt ''<math>\frac{cos(3) x^{3} (2 y - 6) + sin(3) x^{3} (-y^{2} + 6 y - 7)}{2}</math>''.</div>}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example| 1=<div><code><nowiki>TaylorReihe[x^3 sin(y), y, 3, 2]</nowiki></code> gibt ''<math>\frac{cos(3) x^{3} (2 y - 6) + sin(3) x^{3} (-y^{2} + 6 y - 7)}{2}</math>''.</div>}}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{note| <del class="diffchange diffchange-inline">The order </del>n <del class="diffchange diffchange-inline">has got to be an integer greater or equal to zero</del>.}}</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{note| <ins class="diffchange diffchange-inline">1=Der Grad </ins>n <ins class="diffchange diffchange-inline">muss eine ganze Zahl größergleich Null sein</ins>.}}</div></td></tr>
</table>
Alexander Hartl
https://wiki.geogebra.org/s/de/index.php?title=TaylorReihe_(Befehl)&diff=4090&oldid=prev
Alexander Hartl am 5. September 2011 um 12:26 Uhr
2011-09-05T12:26:16Z
<p></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 5. September 2011, 12:26 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Zeile 1:</td>
<td colspan="2" class="diff-lineno">Zeile 1:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Manual Page|version=4.0}}</noinclude>{{command|function|TaylorReihe}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Manual Page|version=4.0}}</noinclude>{{command|function|TaylorReihe}}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>;TaylorReihe[Funktion, x-Wert a, Grad n]</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>;TaylorReihe[ <ins class="diffchange diffchange-inline"><</ins>Funktion<ins class="diffchange diffchange-inline">></ins>, <ins class="diffchange diffchange-inline"><</ins>x-Wert a<ins class="diffchange diffchange-inline">></ins>, <ins class="diffchange diffchange-inline"><</ins>Grad n<ins class="diffchange diffchange-inline">> </ins>]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion an der Stelle ''x = a'' vom Grad ''n''.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion an der Stelle ''x = a'' vom Grad ''n''.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example| 1=<div><code><nowiki>TaylorReihe[x^2, 3, 1]</nowiki></code> gibt ''6 x - 9''.</div>}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example| 1=<div><code><nowiki>TaylorReihe[x^2, 3, 1]</nowiki></code> gibt ''6 x - 9''.</div>}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==CAS-Ansicht==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==CAS-Ansicht==</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>;TaylorReihe[Funktion, x-Wert a, Grad n]</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>;TaylorReihe[ <ins class="diffchange diffchange-inline"><</ins>Funktion<ins class="diffchange diffchange-inline">></ins>, <ins class="diffchange diffchange-inline"><</ins>x-Wert a<ins class="diffchange diffchange-inline">></ins>, <ins class="diffchange diffchange-inline"><</ins>Grad n<ins class="diffchange diffchange-inline">> </ins>]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion an der Stelle ''x = a'' vom Grad ''n''.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion an der Stelle ''x = a'' vom Grad ''n''.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example| 1=<div><code><nowiki>TaylorReihe[x^2, a, 1]</nowiki></code> gibt ''-a<sup>2</sup> + 2 a x''.</div>}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example| 1=<div><code><nowiki>TaylorReihe[x^2, a, 1]</nowiki></code> gibt ''-a<sup>2</sup> + 2 a x''.</div>}}</div></td></tr>
</table>
Alexander Hartl
https://wiki.geogebra.org/s/de/index.php?title=TaylorReihe_(Befehl)&diff=4089&oldid=prev
Alexander Hartl am 5. September 2011 um 12:24 Uhr
2011-09-05T12:24:58Z
<p></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 5. September 2011, 12:24 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l10" >Zeile 10:</td>
<td colspan="2" class="diff-lineno">Zeile 10:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion in mehreren Variablen für die gegebene Variable an der Stelle ''v = a'' vom Grad ''n''.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion in mehreren Variablen für die gegebene Variable an der Stelle ''v = a'' vom Grad ''n''.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example| 1=<div><code><nowiki>TaylorReihe[x^3 sin(y), x, 3, 2]</nowiki></code> gibt ''sin(y) (9 x<sup>2</sup> - 27 x + 27)''.</div>}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example| 1=<div><code><nowiki>TaylorReihe[x^3 sin(y), x, 3, 2]</nowiki></code> gibt ''sin(y) (9 x<sup>2</sup> - 27 x + 27)''.</div>}}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>:{{example| 1=<div><code><nowiki>TaylorReihe[x^3 sin(y), y, 3, 2]</nowiki></code> gibt ''<math><del class="diffchange diffchange-inline">x³</del>\frac{<del class="diffchange diffchange-inline">(-y² sin</del>(3) <del class="diffchange diffchange-inline">+ </del>y <del class="diffchange diffchange-inline">(2cos(3</del>) + <del class="diffchange diffchange-inline">6sin</del>(3)<del class="diffchange diffchange-inline">) </del>- <del class="diffchange diffchange-inline">6cos(3) </del>- <del class="diffchange diffchange-inline">7sin(3)</del>)}{2}</math>''.</div>}}</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:{{example| 1=<div><code><nowiki>TaylorReihe[x^3 sin(y), y, 3, 2]</nowiki></code> gibt ''<math>\frac{<ins class="diffchange diffchange-inline">cos</ins>(3) <ins class="diffchange diffchange-inline">x^{3} (2 </ins>y <ins class="diffchange diffchange-inline">- 6</ins>) + <ins class="diffchange diffchange-inline">sin</ins>(3) <ins class="diffchange diffchange-inline">x^{3} (</ins>-<ins class="diffchange diffchange-inline">y^{2} + 6 y </ins>- <ins class="diffchange diffchange-inline">7</ins>)}{2}</math>''.</div>}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{note| The order n has got to be an integer greater or equal to zero.}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{note| The order n has got to be an integer greater or equal to zero.}}</div></td></tr>
</table>
Alexander Hartl
https://wiki.geogebra.org/s/de/index.php?title=TaylorReihe_(Befehl)&diff=4041&oldid=prev
Andrea.duringer am 24. August 2011 um 10:23 Uhr
2011-08-24T10:23:20Z
<p></p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Nächstältere Version</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 24. August 2011, 10:23 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l6" >Zeile 6:</td>
<td colspan="2" class="diff-lineno">Zeile 6:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;TaylorReihe[Funktion, x-Wert a, Grad n]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;TaylorReihe[Funktion, x-Wert a, Grad n]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion an der Stelle ''x = a'' vom Grad ''n''.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion an der Stelle ''x = a'' vom Grad ''n''.</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">:{{example| 1=<div><code><nowiki>TaylorReihe[x^2, a, 1]</nowiki></code> gibt ''-a<sup>2</sup> + 2 a x''.</div>}}</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;TaylorReihe[ <Funktion>, <Variable v>, <Variablenwert a>, <Grad n> ]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;TaylorReihe[ <Funktion>, <Variable v>, <Variablenwert a>, <Grad n> ]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion in mehreren Variablen für die gegebene Variable an der Stelle ''v = a'' vom Grad ''n''.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt die Taylor Reihe der gegebenen Funktion in mehreren Variablen für die gegebene Variable an der Stelle ''v = a'' vom Grad ''n''.</div></td></tr>
</table>
Andrea.duringer
https://wiki.geogebra.org/s/de/index.php?title=TaylorReihe_(Befehl)&diff=3859&oldid=prev
Christina.biermair am 18. August 2011 um 11:09 Uhr
2011-08-18T11:09:54Z
<p></p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Nächstältere Version</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 18. August 2011, 11:09 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Zeile 1:</td>
<td colspan="2" class="diff-lineno">Zeile 1:</td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Manual Page|version=4.0}}</noinclude>{{command|function|<del class="diffchange diffchange-inline">TaylorPolynom</del>}}</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Manual Page|version=4.0}}</noinclude>{{command|function|<ins class="diffchange diffchange-inline">TaylorReihe</ins>}}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>;<del class="diffchange diffchange-inline">TaylorPolynom</del>[Funktion, x-Wert a, Grad n]: Erzeugt <del class="diffchange diffchange-inline">das </del>Taylor <del class="diffchange diffchange-inline">Polynom </del>der gegebenen Funktion an der Stelle ''x = a'' vom Grad ''n''.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>;<ins class="diffchange diffchange-inline">TaylorReihe</ins>[Funktion, x-Wert a, Grad n]</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">:Erzeugt die Taylor Reihe der gegebenen Funktion an der Stelle ''x = a'' vom Grad ''n''.</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">:{{example| 1=<div><code><nowiki>TaylorReihe[x^2, 3, 1]</nowiki></code> gibt ''6 x - 9''.</div>}}</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">==CAS-Ansicht==</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">;TaylorReihe[Funktion, x-Wert a, Grad n]</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:Erzeugt <ins class="diffchange diffchange-inline">die </ins>Taylor <ins class="diffchange diffchange-inline">Reihe </ins>der gegebenen Funktion an der Stelle ''x = a'' vom Grad ''n''.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">CAS:</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">;</ins>TaylorReihe[ <Funktion>, <<ins class="diffchange diffchange-inline">Variable v>, <Variablenwert a</ins>>, <Grad <ins class="diffchange diffchange-inline">n</ins>> ]</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>TaylorReihe[ <Funktion>, <<del class="diffchange diffchange-inline">x-Wert</del>>, <Grad> ]</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">:Erzeugt die Taylor Reihe der gegebenen Funktion in mehreren Variablen für die gegebene Variable an der Stelle ''v = a'' vom Grad ''n''.</ins></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>TaylorReihe[ <<del class="diffchange diffchange-inline">Funktion</del>>, <<del class="diffchange diffchange-inline">Variable</del>><del class="diffchange diffchange-inline">, </del><<del class="diffchange diffchange-inline">Variablenwert</del>><del class="diffchange diffchange-inline">, </del><<del class="diffchange diffchange-inline">Grad</del>> <del class="diffchange diffchange-inline">]</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">:{{example| 1=<div><code><nowiki></ins>TaylorReihe[<ins class="diffchange diffchange-inline">x^3 sin(y), x, 3, 2]</nowiki></code> gibt ''sin(y) (9 x<sup>2</ins><<ins class="diffchange diffchange-inline">/sup> - 27 x + 27)''.</div>}}</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">:{{example| 1=<div><code><nowiki</ins>><ins class="diffchange diffchange-inline">TaylorReihe[x^3 sin(y)</ins>, <ins class="diffchange diffchange-inline">y, 3, 2]</nowiki></code> gibt ''</ins><<ins class="diffchange diffchange-inline">math</ins>><ins class="diffchange diffchange-inline">x³\frac{(-y² sin(3) + y (2cos(3) + 6sin(3)) - 6cos(3) - 7sin(3))}{2}</ins><<ins class="diffchange diffchange-inline">/math</ins>><ins class="diffchange diffchange-inline">''.</ins><<ins class="diffchange diffchange-inline">/div</ins>><ins class="diffchange diffchange-inline">}}</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">{{note| The order n has got to be an integer greater or equal to zero.}}</ins></div></td></tr>
</table>
Christina.biermair