For the curve defined implicitly by

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

Problem

For the curve defined implicitly by xy+y2=10xy+y^2=10, what is dydx\dfrac{dy}{dx} at the point (2,2)(2,2)? (a) −12-\dfrac{1}{2} (b) 13\dfrac{1}{3} (c) −13-\dfrac{1}{3} (d) −3-3

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