The table gives values of a differentiable function and its first derivative on the…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

The table gives values of a differentiable function ff and its first derivative on the closed interval [1,9][1,9]. xx        11    33    55    77    99 f(x)f(x)     44    66    88    77    55 f′(x)f'(x)    ++    ++    00    −-    −- Based only on the information provided, at which listed xx-value is ff most likely to attain its absolute maximum on [1,9][1,9]? (a) x=7x = 7 (b) x=5x = 5 (c) x=3x = 3 (d) x=9x = 9

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