Consider the curve given by

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Consider the curve given by x3+y3−9xy=0x^{3}+y^{3}-9xy=0. How many distinct points on this curve lying in the first quadrant have a vertical tangent line? (a) 00 (b) 33 (c) 11 (d) 22

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