Find , for , where…

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Find dydx\frac{dy}{dx} , for y=tan⁡−1(a−xa+x)y = \tan^{-1} \left( \frac{\sqrt{a-x}}{\sqrt{a+x}} \right) , where −a<x<a-a < x < a .

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