Let on the interval

MATHEMATICS · Subjective · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

Let f(x)=x3−6xf(x)=x^{3}-6x on the interval [0,4][0,4]. Determine one value cc in (0,4)(0,4) such that f′(c)f'(c) equals the average rate of change of ff over [0,4][0,4].

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