Determine the slope of the curve at the point .

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

Problem

Determine the slope dydx\dfrac{dy}{dx} of the curve x2+xy+y2=7x^{2}+xy+y^{2}=7 at the point (1,2)(1,2). (a) 45\dfrac{4}{5} (b) −1-1 (c) −45-\dfrac{4}{5} (d) −54-\dfrac{5}{4}

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