For a differentiable function with

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

Problem

For a differentiable function ff with f(a)=bf(a)=b, which condition must be satisfied at x=ax=a to guarantee that (f−1)′(b)(f^{-1})'(b) exists? (a) f′(a)=0f'(a)=0 (b) f(a)≠0f(a)\neq 0 (c) f′(a)≠0f'(a)\neq 0 (d) f′(a)>0f'(a)>0

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