Let be defined on

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Let f(x)=x3−6x2+9x+2f(x)=x^{3}-6x^{2}+9x+2 be defined on [0,4][0,4]. Determine all points c∈(0,4)c\in(0,4) at which f′(c)f'(c) equals the average rate of change of ff over [0,4][0,4].

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