Difference between revisions of "Extremum Command"
From GeoGebra Manual
(command syntax: changed [ ] into ( )) |
|||
(9 intermediate revisions by 6 users 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 | + | ;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( <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.}} |
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.