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人気のある微分積分 >

(d^2)/(dx^2)(e^{8x^2})

解

\frac{d ^{2}}{d x ^{2}} (e^{8 x^{2}})

解

16 (16 e^{8 x^{2}} x^{2} + e^{8 x^{2}})

解答ステップ

\frac{d ^{2}}{d x ^{2}} (e^{8 x^{2}})

\frac{d}{d x} (e^{8 x^{2}}) = e^{8 x^{2}} \cdot 16 x

= \frac{d}{d x} (e^{8 x^{2}} \cdot 16 x)

\frac{d}{d x} (e^{8 x^{2}} \cdot 16 x) = 16 (16 e^{8 x^{2}} x^{2} + e^{8 x^{2}})

= 16 (16 e^{8 x^{2}} x^{2} + e^{8 x^{2}})

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