The curve is defined implicitly by

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

Problem

The curve is defined implicitly by x2+xy+y2=7x^{2}+xy+y^{2}=7. Calculate d2ydx2\dfrac{d^{2}y}{dx^{2}} at the point (1,2)(1,2).

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