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 \( \cos ^{-1} x \), if
\( \mathrm{P} \)
W
\[
x \in(0,1)
\]
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