For the curve defined by

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

Problem

x^{3}y-y^{3}=8

, find the coordinates of every point where the tangent line is horizontal and the point is an inflection point.

Related theory

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

Browse the problem library