Determine all points with integer coordinates on the curve at which the tangent line…

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

Problem

Determine all points with integer coordinates on the curve x2+xy+y2=3x^{2}+xy+y^{2}=3 at which the tangent line is horizontal.

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