Differentiate the following w.r.t. as indicated : \[ \cos ^{-1}\lef...

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Differentiate the following w.r.t. as indicated :
\[
\cos ^{-1}\left(\frac{1-x^{2}}{1+x^{2}}\right) \quad \text { w.r.t. } \tan ^{-1}\left(\frac{3 x-x^{3}}{1-3 x^{2}}\right)
\]
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