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人気のある微分積分 >

(d^2)/(dx^2)((x^2+5)^7)

解

\frac{d ^{2}}{d x ^{2}} ((x^{2} + 5)^{7})

解

14 ((x^{2} + 5)^{6} + 12 x^{2} (x^{2} + 5)^{5})

解答ステップ

\frac{d ^{2}}{d x ^{2}} ((x^{2} + 5)^{7})

\frac{d}{d x} ((x^{2} + 5)^{7}) = 14 x (x^{2} + 5)^{6}

= \frac{d}{d x} (14 x (x^{2} + 5)^{6})

\frac{d}{d x} (14 x (x^{2} + 5)^{6}) = 14 ((x^{2} + 5)^{6} + 12 x^{2} (x^{2} + 5)^{5})

= 14 ((x^{2} + 5)^{6} + 12 x^{2} (x^{2} + 5)^{5})

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