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(3)=2f(3)=2 and f′(3)=−4f'(3)=-4. Consider the function p(x)=x2 ln⁡(f−1(x))p(x)=x^{2}\,\ln\bigl(f^{-1}(x)\bigr). Compute p′(2)p'(2).

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