The derivative of a function is given by

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

The derivative of a function is given by f′(x)=x3−9xf'(x)=x^{3}-9x. How many local maxima and how many local minima can f(x)f(x) have? Give a brief reason based on the second derivative test.

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