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

Problem

If y=esin⁡2xy=e^{\sin 2x}, then d2ydx2\dfrac{d^{2}y}{dx^{2}} equals (a) 4esin⁡2x(cos⁡22x+sin⁡2x)4e^{\sin 2x}(\cos^{2}2x+\sin 2x) (b) 4esin⁡2x(cos⁡22x−sin⁡2x)4e^{\sin 2x}(\cos^{2}2x-\sin 2x) (c) −4esin⁡2xsin⁡2x-4e^{\sin 2x}\sin 2x (d) 2esin⁡2x(cos⁡22x−2sin⁡2x)2e^{\sin 2x}(\cos^{2}2x-2\sin 2x)

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