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+1 vote
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in Differentiation by (28.8k points)
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Let U = sin-1\(\Big(\cfrac{2\text x}{1+\text x^2}\Big)\) and V = tan-1\(\Big(\cfrac{2\text x}{1+\text x^2}\Big),\) then \(\cfrac{dU}{dV}\) =

A. 1/2

B. x

C. \(\cfrac{1-\text x^2}{1+\text x^2}\)

D. 1

1 Answer

+3 votes
by (30.0k points)
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Best answer

Correct option is D. 1

We are given that

Again

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