Differentiate tan−1(1−x22x)+cos−1(1+x21−x2) with respect to x , when x∈(−∞, −1)

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Question

Differentiate $tan^{- 1} (\frac{2 x}{1 - x ^{2}}) + cos^{- 1} (\frac{1 - x ^{2}}{1 + x ^{2}})$ with respect to $x$ , when $x \in (- \infty, - 1)$

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Differentiate

tan^{- 1} (\frac{2 x}{1 - x ^{2}}) + cos^{- 1} (\frac{1 - x ^{2}}{1 + x ^{2}})

with respect to

x

, when

x \in (- \infty, - 1)

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Question Text

Differentiate

tan^{- 1} (\frac{2 x}{1 - x ^{2}}) + cos^{- 1} (\frac{1 - x ^{2}}{1 + x ^{2}})

with respect to

x

, when

x \in (- \infty, - 1)