Difference between revisions of "Extremum Command"

Revision as of 09:05, 9 October 2017

This command differs among variants of English:

Extremum( <Polynomial> ): Yields all local extrema of the polynomial function as points on the function graph.; Example:
Extremum(x³ + 3x² - 2x + 1) creates local extrema (0.29, 0.70) and (-2.29, 9.30) and shows them in the Graphics View.

Extremum( <Function>, <Start x-Value>, <End x-Value> ): Calculates (numerically) the extremum of the function in the open interval ( <Start x-Value>, <End x-Value> ).; Example:
Extremum((x⁴ - 3x³ - 4x² + 4) / 2, 0, 5) creates local extremum (2.93, -16.05) in the given interval and shows it in the Graphics View.

Note: The function should be continuous in [ <Start x-Value>, <End x-Value> ], otherwise false extrema near discontinuity might be calculated.

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-<noinclude>{{Manual Page}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>
+<noinclude>{{Manual Page|version=5.0}}</noinclude>
-{{command|function}}
+{{command|function|US_version=Extremum|non-US_version=TurningPoint}}
-{{Alternate Language|region=US|page_type=Command |US_version=Extremum|UK_version=TurningPoint|Aus_version=TurningPoint}}
+;Extremum( <Polynomial> ):Yields all local extrema of the polynomial function as points on the function graph.
+:{{Example|1=<br><code><nowiki>Extremum(x³ + 3x² - 2x + 1)</nowiki></code> creates local extrema ''(0.29, 0.70)'' and ''(-2.29, 9.30)'' and shows them in the [[File:Menu view graphics.svg|link=|16px]] [[Graphics View]].}}
-; Extremum[Polynomial]: Yields all local extrema of the polynomial function as points on the function graph.
+;Extremum( <Function>, <Start x-Value>, <End x-Value> ):Calculates (numerically) the extremum of the function in the open interval ( <Start x-Value>, <End x-Value> ).
+:{{Example|1=<br><code><nowiki>Extremum((x⁴ - 3x³ - 4x² + 4) / 2, 0, 5)</nowiki></code> creates local extremum ''(2.93, -16.05)'' in the given interval and shows it in the [[File:Menu view graphics.svg|link=|16px]] [[Graphics View]].}}
+:{{Note|1=The function should be continuous in [ <Start x-Value>, <End x-Value> ], otherwise false extrema near discontinuity might be calculated.}}