The curve given by passes through the point

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

Problem

The curve given by x2y+y3=10x^{2}y+y^{3}=10 passes through the point (1,2)(1,2). What is the value of dydx\dfrac{dy}{dx} at this point? (a) −413-\dfrac{4}{13} (b) 413\dfrac{4}{13} (c) −47-\dfrac{4}{7} (d) 00

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