For a differentiable function defined on

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

Problem

For a differentiable function ff defined on [−2,2][-2,2], selected values of its derivative are given: x:−2−1012f′(x):−1.0−0.40.20.5−0.1\begin{aligned} x &: -2 & -1 & 0 & 1 & 2 \\ f'(x) &: -1.0 & -0.4 & 0.2 & 0.5 & -0.1 \end{aligned} Estimate the xx–coordinate of the global maximum of ff on [−2,2][-2,2], and state your reasoning in one sentence.

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