AP

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

Problem

Calculate ddx(x3x2+1)\dfrac{d}{dx}\left(\dfrac{x^{3}}{x^{2}+1}\right). (a) 3x2(x2+1)−2x3(x2+1)2\dfrac{3x^{2}(x^{2}+1)-2x^{3}}{(x^{2}+1)^{2}} (b) 3x4+2x3(x2+1)2\dfrac{3x^{4}+2x^{3}}{(x^{2}+1)^{2}} (c) x4+3x2(x2+1)2\dfrac{x^{4}+3x^{2}}{(x^{2}+1)^{2}} (d) x4+3x2x2+1\dfrac{x^{4}+3x^{2}}{x^{2}+1}

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