Consider the curve given by

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

Problem

Consider the curve given by xy+y2=10xy+y^{2}=10. Determine the slope of the tangent line at the point (2,3)(2,3). (a) 38\dfrac{3}{8} (b) −83-\dfrac{8}{3} (c) −38-\dfrac{3}{8} (d) −12-\dfrac{1}{2}

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