For (y=2^ 5x^ 2 )

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

Problem

For y=25x2y=2^{5x^{2}}, determine d2ydx2\dfrac{d^{2}y}{dx^{2}} at x=0x=0. (a) 100 (ln⁡2)2100\,(\ln 2)^{2} (b) (ln⁡2)2(\ln 2)^{2} (c) 10ln⁡210\ln 2 (d) 0

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