If , then find when…

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

If y=tan⁡−1(1+x2−1x)y = \tan^{-1} \left( \frac{\sqrt{1+x^2}-1}{x} \right) , then find dydx\frac{dy}{dx} when −1≤x≤1-1 \le x \le 1 .

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