AP

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

Problem

Calculate ddx(x32x−1)\dfrac{d}{dx}\left(\dfrac{x^{3}}{2x-1}\right). (a) 3x2(2x−1)+2x3(2x−1)2\dfrac{3x^{2}(2x-1)+2x^{3}}{(2x-1)^{2}} (b) x2(4x−3)(2x−1)2\dfrac{x^{2}(4x-3)}{(2x-1)^{2}} (c) 3x2(2x−1)−2x3(2x−1)\dfrac{3x^{2}(2x-1)-2x^{3}}{(2x-1)} (d) x2(5x−3)(2x−1)2\dfrac{x^{2}(5x-3)}{(2x-1)^{2}}

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