Find the derivative of w.r.t

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

Problem

Find the derivative of tan⁡−12x1−x2\tan^{-1} \frac{2x}{1-x^2} w.r.t. sin⁡−12x1+x2\sin^{-1} \frac{2x}{1+x^2} if (i) x∈(−1,1)x \in (-1, 1) (ii) x∈(−∞,−1)x \in (-\infty, -1) (iii) x∈(1,∞)x \in (1, \infty)

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