For the curve

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

For the curve

x^{2}y-y^{3}+4=0

, determine: (i) the coordinates of all points where the tangent line is horizontal, and (ii) the coordinates of all points where the tangent line is vertical.

Related theory

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

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