Difference between revisions of "Extremum Command"
From GeoGebra Manual
m (Text replace - "<div class="box info"> 48px|left This page is part of the official manual for print and pdf. For structural reasons normal users can't edit this page. If you found any errors on this page please contact ) |
m |
||
(2 intermediate revisions by one other user not shown) | |||
Line 1: | Line 1: | ||
− | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude> |
{{command|function|US_version=Extremum|non-US_version=TurningPoint}} | {{command|function|US_version=Extremum|non-US_version=TurningPoint}} | ||
;Extremum[ <Polynomial> ]:Yields all local extrema of the polynomial function as points on the function graph. | ;Extremum[ <Polynomial> ]:Yields all local extrema of the polynomial function as points on the function graph. | ||
− | :{{Example|1=<br><code>Extremum[x³ + 3x² - 2x + 1]</code> creates local extrema | + | :{{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 [[Graphics View]].}} |
− | ;Extremum[ <Function | + | ;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 [[Graphics View]].}} | |
− | :{{Example|1=<br><code>Extremum[(x⁴ - 3x³ - 4x² + 4) / 2, | + | :{{Note|1=The function should be continuous in [ <Start x-Value>, <End x-Value> ], otherwise false extrema near discontinuity might be calculated.}} |
Revision as of 10:54, 23 July 2015
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.