If , then find when…

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

Problem

y = \tan^{-1} \sqrt{\frac{1-x}{1+x}}

, then find

\frac{dy}{dx}

when

-1 < x < 1

Related theory

Advanced Differentiation
Derivatives of standard functions via chain rule
Derivatives of inverse trigonometric functions
Continuity and Differentiability

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