Consider the curve

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

Problem

Consider the curve

y^{2}=x^{3}-3x^{2}

. Determine the coordinates of any point(s) on the curve where

\dfrac{dy}{dx}

is simultaneously zero and undefined.

Related theory

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

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