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人気のある微分積分 >

(d^2)/(dx^2)(x+1/x)

解

\frac{d ^{2}}{d x ^{2}} (x + \frac{1}{x})

解

\frac{2}{x ^{3}}

解答ステップ

\frac{d ^{2}}{d x ^{2}} (x + \frac{1}{x})

\frac{d}{d x} (x + \frac{1}{x}) = 1 - \frac{1}{x ^{2}}

= \frac{d}{d x} (1 - \frac{1}{x ^{2}})

\frac{d}{d x} (1 - \frac{1}{x ^{2}}) = \frac{2}{x ^{3}}

= \frac{2}{x ^{3}}

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