Differentiate the following w.r.t. \( x \) \[ e^{\cos ^{-1}\left(\sqrt{1-x^{2}}\right)},|x|1 \]
Differentiate the following w.r.t. \( x \)
\[
e^{\cos ^{-1}\left(\sqrt{1-x^{2}}\right)},|x|1
\]
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