Difference between revisions of "Extremum Command"
From GeoGebra Manual
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;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. | ||
Revision as of 22:09, 9 March 2013
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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:
Extremum[(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.
