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

解

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

- \frac{48}{x ^{5}}

解答ステップ

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

\frac{d}{d x} (\frac{2}{x ^{2}}) = - \frac{4}{x ^{3}}

= \frac{d ^{2}}{d x ^{2}} (- \frac{4}{x ^{3}})

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

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

\frac{d}{d x} (\frac{12}{x ^{4}}) = - \frac{48}{x ^{5}}

= - \frac{48}{x ^{5}}