At the point on the curve

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

Problem

At the point

(1,0)

on the curve

(x^{2}+y^{2})^{y}=x\,e^{y}

, calculate the value of

\dfrac{dy}{dx}

Related theory

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

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