CBSE

MATHEMATICS · Multi-part · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

If f(x)=sin⁡−1(2x1+x2)f(x) = \sin^{-1} \left( \frac{2x}{1+x^2} \right) , then (1) Statement I The value of f′(2)=−25f'(2) = -\frac{2}{5} . (2) Statement II f(x)=sin⁡−1(2x1+x2)=−21+x2f(x) = \sin^{-1} \left( \frac{2x}{1+x^2} \right) = \frac{-2}{1+x^2} , for x>1x > 1

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