The function

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

Problem

The function f(x)=ex+xf(x) = e^x + x , being differentiable and one to one, has a differentiable inverse f−1(x)f^{-1}(x) . Find ddx(f−1(x))\frac{d}{dx}(f^{-1}(x)) at point f(log⁡2)f(\log 2) .

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