Prove that derivative of \( \tan ^{-1}\left(\frac{x}{1+\sqrt{1-x^{2...

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Prove that derivative of \( \tan ^{-1}\left(\frac{x}{1+\sqrt{1-x^{2}}}\right) \) w.r.t. \( \sin ^{-1} x \) is independent of \( x \).
\( \mathrm{P} \)
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