Which of the following correctly expresses the derivative of the inverse of a…

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

Problem

Which of the following correctly expresses the derivative of the inverse of a differentiable function ff at the point b=f(a)b=f(a)? (a) f′(a)f'(a) (b) 1f′(b)\dfrac{1}{f'(b)} (c) 1f′(a)\dfrac{1}{f'(a)} (d) 1(f′(a))2\dfrac{1}{(f'(a))^{2}}

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