The points on a curve satisfy with and

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

Problem

The points on a curve satisfy

x\ln y + y\ln x = \ln 16

with

x>0

and

y>0

. Find

\dfrac{dy}{dx}

at the point

(2,2)

Related theory

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

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