Differentiate \( \sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right) \) with...

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Differentiate \( \sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right) \) with respect to \( \tan ^{-1}\left(\frac{2 x}{1-x^{2}}\right) \), if \( -1x1 \).
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