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

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Question

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

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Liam Discussed

Differentiate

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

, with respect to

x

, if

x \in (1, \infty)

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Question Text

Differentiate

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

, with respect to

x

, if

x \in (1, \infty)