Let , then the value of , when , is…

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

Problem

Let f(x)=sin⁡−1(2x+24x2+8x+13)f(x) = \sin^{-1}\left(\frac{2x+2}{\sqrt{4x^2+8x+13}}\right) , then the value of d(tan⁡f(x))d(tan⁡−1x)\frac{d(\tan f(x))}{d(\tan^{-1} x)} , when x=12x = \frac{1}{2} , is .....

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