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Differentiate. sin^(-1)((2x)/(1+x^2))w.r...

Differentiate.
`sin^(-1)((2x)/(1+x^2))w.r.t.cos^(-1)((1-x^2)/(1+x^2))`

Text Solution

Verified by Experts

Let `y=sin^(-1)frac(2x)(1+x^2)`
and `z=cos ^(-1)frac(1-x^2)(1+x^2)Then `y=2 tan ^(-1)x`and`z=2tan^(-1)x`so y=z
`thereforedy/dx=1.`
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