Let be differentiable at with and

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Let ff be differentiable at x=2x = 2 with f(2)=7f(2)=7 and f′(2)=−3f'(2) = -3. Which of the following gives the value of (f−1)′(7)(f^{-1})'(7)? (a) −13-\dfrac13 (b) −3-3 (c) 13\dfrac13 (d) 17\dfrac17

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