(d^3)/(dx^3)(6/(x^2))

解

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

- \frac{144}{x ^{5}}

解答ステップ

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

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

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

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

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

\frac{d}{d x} (\frac{36}{x ^{4}}) = - \frac{144}{x ^{5}}

= - \frac{144}{x ^{5}}