Let be differentiable and invertible with and

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Let ff be differentiable and invertible with f(1)=4f(1)=4 and f′(1)=2f'(1)=2. Define h(x)=cos⁡(f−1(x))h(x)=\cos\bigl(f^{-1}(x)\bigr). Evaluate h′(4)h'(4).

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