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=7x^2+xy+y^2=7, what is the slope of the tangent line at the point (1,2)(1,2)? (a) −45-\dfrac{4}{5} (b) 45\dfrac{4}{5} (c) −54-\dfrac{5}{4} (d) −43-\dfrac{4}{3}

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