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Question

Mathematics Question on Derivatives

If u=sin1(2x1+x2)u=\sin^{-1}(\frac{2x}{1+x^2}) and v=tan1(2x1x2)v=\tan^{-1}(\frac{2x}{1-x^2}) then dudv\frac{du}{dv} is

A

1x21+x2\frac{1-x^2}{1+x^2}

B

12\frac{1}{2}

C

1

D

2

Answer

1

Explanation

Solution

The correct answer is (C) : 1.