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MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

Calculate h(3)(π2)h^{(3)}\left(\dfrac{\pi}{2}\right) for h(x)=excos⁡xh(x)=e^{x}\cos x. (a) 2eπ/22e^{\pi/2} (b) −eπ/2-e^{\pi/2} (c) −2eπ/2-2e^{\pi/2} (d) −2eπ-2e^{\pi}

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