For the curve

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

Problem

For the curve

x^{2}y+k y^{3}=4

, where

k

is a constant, the slope of the tangent line at the point

(1,1)

-1

. Determine the value of

k

Related theory

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

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