Differentiate \( \sin ^{-1} \sqrt{1-x^{2}} \) with respect to \( \c...

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Differentiate \( \sin ^{-1} \sqrt{1-x^{2}} \) with respect to \( \cot ^{-1}\left(\frac{x}{\sqrt{1-x^{2}}}\right) \), if \( 0x1 \).
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