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人気のある微分積分 >

(d^2)/(dx^2)((x^2+8)^8)

解

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

解

16 ((x^{2} + 8)^{7} + 14 x^{2} (x^{2} + 8)^{6})

解答ステップ

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

\frac{d}{d x} ((x^{2} + 8)^{8}) = 16 x (x^{2} + 8)^{7}

= \frac{d}{d x} (16 x (x^{2} + 8)^{7})

\frac{d}{d x} (16 x (x^{2} + 8)^{7}) = 16 ((x^{2} + 8)^{7} + 14 x^{2} (x^{2} + 8)^{6})

= 16 ((x^{2} + 8)^{7} + 14 x^{2} (x^{2} + 8)^{6})

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