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 x2y+y3=10x^{2}y+y^{3}=10, determine the slope of the tangent at the point (2,1)(2,1). (a) −74-\dfrac{7}{4} (b) 47\dfrac{4}{7} (c) −47-\dfrac{4}{7} (d) −45-\dfrac{4}{5}

Related theory

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