Differentiate each of the following w.r.t

Question:

Differentiate each of the following w.r.t $x$ :

If $y=\sin \left\{2 \tan ^{-1}\left(\sqrt{\frac{1-x}{1+x}}\right)\right\}$, show that $\frac{d y}{d x}=\frac{-x}{\sqrt{1-x^{2}}}$.

Solution:

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