If , then show that…

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

Problem

\log(x^2 + y^2) = 2 \tan^{-1} \left( \frac{y}{x} \right)

, then show that

\frac{dy}{dx} = \frac{x+y}{x-y}

Related theory

Advanced Differentiation
Implicit and parametric differentiation
Derivatives of implicit functions
Continuity and Differentiability

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