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人気のある微分積分 >

(d^2)/(dx^2)(3x-4x^{9/10})

解

\frac{d ^{2}}{d x ^{2}} (3 x - 4 x^{\frac{9}{10}})

解

\frac{9}{25 x ^{\frac{11}{10}}}

解答ステップ

\frac{d ^{2}}{d x ^{2}} (3 x - 4 x^{\frac{9}{10}})

\frac{d}{d x} (3 x - 4 x^{\frac{9}{10}}) = 3 - \frac{18}{5 x ^{\frac{1}{10}}}

= \frac{d}{d x} (3 - \frac{18}{5 x ^{\frac{1}{10}}})

\frac{d}{d x} (3 - \frac{18}{5 x ^{\frac{1}{10}}}) = \frac{9}{25 x ^{\frac{11}{10}}}

= \frac{9}{25 x ^{\frac{11}{10}}}

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