Let and let be the inverse of

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

Problem

Let f(x)=∫2xdt1+t4f(x)=\int_{2}^{x}\frac{dt}{\sqrt{1+t^4}} and let gg be the inverse of ff. Then the value of g′(0)g'(0) is (1) 1 (2) 17 (3) 17\sqrt{17} (4) None of these

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