AP

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Find ddx[x3+2xx−1]\dfrac{d}{dx}\left[\dfrac{x^{3}+2x}{x-1}\right]. (a) 2x3−3x2−2x−1\dfrac{2x^{3}-3x^{2}-2}{x-1} (b) 2x3−3x2−2(x−1)2\dfrac{2x^{3}-3x^{2}-2}{(x-1)^{2}} (c) 3x2+2x−1\dfrac{3x^{2}+2}{x-1} (d) −2x3+3x2+2(x−1)2\dfrac{-2x^{3}+3x^{2}+2}{(x-1)^{2}}

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