(d^2)/(dx^2)(3sqrt(x)-8/x)

解

\frac{d ^{2}}{d x ^{2}} (3 x - \frac{8}{x})

\frac{- 3 x ^{\frac{5}{2}} - 64 x}{4 x ^{4}}

解答ステップ

\frac{d ^{2}}{d x ^{2}} (3 x - \frac{8}{x})

\frac{d}{d x} (3 x - \frac{8}{x}) = \frac{3 x ^{\frac{3}{2}} + 16}{2 x ^{\frac{3}{2}} x}

= \frac{d}{d x} (\frac{3 x ^{\frac{3}{2}} + 16}{2 x ^{\frac{3}{2}} x})

\frac{d}{d x} (\frac{3 x ^{\frac{3}{2}} + 16}{2 x ^{\frac{3}{2}} x}) = \frac{- 3 x ^{\frac{5}{2}} - 64 x}{4 x ^{4}}

= \frac{- 3 x ^{\frac{5}{2}} - 64 x}{4 x ^{4}}