Difference between revisions of "Extremum Command"
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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 10:54, 23 July 2015
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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 (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.
