For the equation (with )

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

Problem

For the equation

x^{2}y+e^{y}=\ln x

(with

x>0

), derive an explicit expression for

\dfrac{dy}{dx}

in terms of

x

and

y

Related theory

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

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