Differentiate \( \tan ^{-1}\left[\frac{\sqrt{1+x^{2}}-\sqrt{1-x^{2}...

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Differentiate \( \tan ^{-1}\left[\frac{\sqrt{1+x^{2}}-\sqrt{1-x^{2}}}{\sqrt{1+x^{2}}+\sqrt{1-x^{2}}}\right] \) w.rt:
\[
1 \sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right)
\]
\( \mathrm{P} \)
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