Derive an explicit expression for in terms of and for the curve .

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

Problem

Derive an explicit expression for

\dfrac{dy}{dx}

in terms of

x

and

y

for the curve

\sin(xy)+y=x

Related theory

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

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