For the curve defined by

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

For the curve defined by x3+y3=9xyx^{3}+y^{3}=9xy, which of the following lists all points on the curve where the tangent line is vertical? (a) (0,0)(0,0) (b) (3,3)(3,3) (c) (54 2/33, 54 1/3)\bigl(\dfrac{54^{\,2/3}}{3},\,54^{\,1/3}\bigr) (d) (54 1/3, 54 2/33)\bigl(54^{\,1/3},\,\dfrac{54^{\,2/3}}{3}\bigr)

Related theory

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