Difference between revisions of "Extremum Command"
From GeoGebra Manual
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<noinclude>{{Manual Page|version=4.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude> | <noinclude>{{Manual Page|version=4.0}}[[Category:Manual (official)|{{PAGENAME}}]]</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. |
| − | ; Extremum[Function ''f'',left-x,right-x]: Calculates (numerically) the extremum of ''f'' in the open interval <left-x,right-x> | + | :{{Example|1=<br><code>Extremum[x³ + 3x² - 2x + 1]</code> creates local extrema points - <code>(0.29, 0.696)</code> and <code>(-2.3, 9.3)</code> - and shows them in the [[Graphics View]].}} |
| + | ;Extremum[ <Function ''f''>, <left-x>, <right-x> ]:Calculates (numerically) the extremum of ''f'' in the open interval ( <code><left-x>, <right-x></code> ) | ||
| + | :{{Note|1=Function ''f'' should be continuous in [ <left-x>, <right-x> ], otherwise false extremums near discontinuity might be calculated.}} | ||
| + | :{{Example|1=<br><code>Extremo[(x⁴ - 3x³ - 4x² + 4) / 2, x(X_i), x(X_f)]</code> creates each local extrema point in the given interval and shows it in the [[Graphics View]].}} | ||
Revision as of 18:34, 22 November 2012
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This command differs among variants of English:
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- 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 points -(0.29, 0.696)and(-2.3, 9.3)- and shows them in the Graphics View.
- Extremum[ <Function f>, <left-x>, <right-x> ]
- Calculates (numerically) the extremum of f in the open interval (
<left-x>, <right-x>) - Note: Function f should be continuous in [ <left-x>, <right-x> ], otherwise false extremums near discontinuity might be calculated.
- Example:
Extremo[(x⁴ - 3x³ - 4x² + 4) / 2, x(X_i), x(X_f)]creates each local extrema point in the given interval and shows it in the Graphics View.
