Given the relation

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

Problem

Given the relation

e^{xy}+y^{2}=10

, determine

\dfrac{dy}{dx}

at the point

(\ln 9,1)

Related theory

Advanced Differentiation
Implicit and Parametric Differentiation
Derivatives of implicit functions
Continuity and Differentiability

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