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Lösung 1.3:1d

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Version vom 10:09, 11. Mär. 2009

The function has critical points at the points x=a and x=d, (see figure below), i.e. the derivatives are equal to zero, but note that x=b and x=c are not critical points (the derivative is not even defined at these points).

The function has local minimum points at x=a, x=c and the right endpoint of the interval of definition and the local maximum points at the left endpoint, x=b, and x=d. Of these, x=b is the global maximum and x=a is the global minimum.

Between the local extreme points, the function is strictly increasing or decreasing.

Von „http://wiki.math.se/wikis/2009/bridgecourse2-TU-Berlin/index.php/L%C3%B6sung_1.3:1d“