For the curve defined by

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

Problem

For the curve defined by x2+xy−y2=1x^{2}+xy-y^{2}=1, evaluate d2ydx2\displaystyle \frac{d^{2}y}{dx^{2}} at the point (1,1)(1,1). (a) 1010 (b) −5-5 (c) −10-10 (d) 55

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