For the function on the interval

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

Problem

For the function f(x)=x2+3x−1f(x)=x^{2}+3x-1 on the interval [1,4][1,4], determine all value(s) cc in (1,4)(1,4) for which f′(c)f'(c) equals the average rate of change of ff over [1,4][1,4].

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