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

解答

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

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

求解步骤

\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}}

x \to 4 + lim (\frac{x - 4}{∣ x - 4 ∣})

\frac{d}{d x} (ln (\frac{∣ x - 1 ∣}{∣ x - 3 ∣}))

\int 2 x sec^{2} (3 x) x d x

x \to 0 lim (g (x) sin (\frac{1}{x}))

\frac{d}{d x} (sec (x) tan (x))