(d^3)/(dx^3)(6/x)

解答

\frac{d ^{3}}{d x ^{3}} (\frac{6}{x})

- \frac{36}{x ^{4}}

求解步骤

\frac{d ^{3}}{d x ^{3}} (\frac{6}{x})

\frac{d}{d x} (\frac{6}{x}) = - \frac{6}{x ^{2}}

= \frac{d ^{2}}{d x ^{2}} (- \frac{6}{x ^{2}})

\frac{d}{d x} (- \frac{6}{x ^{2}}) = \frac{12}{x ^{3}}

= \frac{d}{d x} (\frac{12}{x ^{3}})

\frac{d}{d x} (\frac{12}{x ^{3}}) = - \frac{36}{x ^{4}}

= - \frac{36}{x ^{4}}