For the differentiable function

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

Problem

For the differentiable function hh, the following data are known. x 0 1 2 3 4 h(x) 1 3 5 7 9 h'(x) 1.4 2.3 2.0 1.8 1.1 Give one value cc in (0,4)(0,4) for which h′(c)h'(c) equals the average rate of change of hh on [0,4][0,4].

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