(d^3)/(dx^3)(5/x)

解答

\frac{d ^{3}}{d x ^{3}} (\frac{5}{x})

- \frac{30}{x ^{4}}

求解步骤

\frac{d ^{3}}{d x ^{3}} (\frac{5}{x})

\frac{d}{d x} (\frac{5}{x}) = - \frac{5}{x ^{2}}

= \frac{d ^{2}}{d x ^{2}} (- \frac{5}{x ^{2}})

\frac{d}{d x} (- \frac{5}{x ^{2}}) = \frac{10}{x ^{3}}

= \frac{d}{d x} (\frac{10}{x ^{3}})

\frac{d}{d x} (\frac{10}{x ^{3}}) = - \frac{30}{x ^{4}}

= - \frac{30}{x ^{4}}

d er i v a t i v e y = (3 x^{6} - 2 x^{4})^{4}

\frac{\partial}{\partial y} (e^{x y z^{9}} y z^{9})

\int 2 e^{4} d x

25 \frac{d ^{2} y}{d x ^{2}} - 10 \frac{d y}{d x} + y = 0

n = 0 \sum \infty \frac{n}{3 n + 1}