For the curve

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

Problem

For the curve λxy+x2−y=7\lambda xy + x^{2} - y = 7, find the value of λ\lambda so that the tangent drawn at the point (2,3)(2,3) is parallel to the line y=−7x+5y = -7x + 5. (a) 317\dfrac{3}{17} (b) 11 (c) −2723-\dfrac{27}{23} (d) 1114\dfrac{11}{14}

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