The curve defined implicitly by passes through the point

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

Problem

The curve defined implicitly by

x^{2}y+y^{3}=10

passes through the point

(1,2)

. Find the equation of the tangent line at this point.

Related theory

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

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