If and , then prove that…

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

If

x = \sin^{-1} \left( \frac{2t}{1+t^2} \right)

and

y = \tan^{-1} \left( \frac{2t}{1-t^2} \right)

, then prove that

\frac{dy}{dx} = 1

.

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