AP

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

Problem

If f(x)=xcos⁡xx2+1+sin⁡xf(x)=\dfrac{x\cos x}{x^{2}+1}+\sin x, find f′ ⁣(π2)f'\!\left(\dfrac{\pi}{2}\right). (a) −ππ2+4-\dfrac{\pi}{\pi^{2}+4} (b) 2ππ2+4\dfrac{2\pi}{\pi^{2}+4} (c) −2ππ2+4-\dfrac{2\pi}{\pi^{2}+4} (d) −2ππ2+2-\dfrac{2\pi}{\pi^{2}+2}

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