Consider the curve defined by

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

Problem

Consider the curve defined by x3+y2−9x=0x^{3}+y^{2}-9x=0. Find all critical points of this curve and state for each whether it corresponds to a horizontal tangent line or a vertical tangent line.

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