For the curve

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

Problem

For the curve 2x2+3y2−4xy=122x^{2}+3y^{2}-4xy=12, which of the following gives the coordinates in the first quadrant where the tangent line is horizontal? (a) (3, 3)(\sqrt3,\,\sqrt3) (b) (23, 3)(2\sqrt3,\,\sqrt3) (c) (23, 23)(2\sqrt3,\,2\sqrt3) (d) (32, 22)(3\sqrt2,\,2\sqrt2)

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