(d^2)/(dx^2)(21e^{1/x})

解

\frac{d ^{2}}{d x ^{2}} (21 e^{\frac{1}{x}})

- \frac{21 ( - e ^{\frac{1}{x}} - 2 e ^{\frac{1}{x}} x )}{x ^{4}}

解答ステップ

\frac{d ^{2}}{d x ^{2}} (21 e^{\frac{1}{x}})

\frac{d}{d x} (21 e^{\frac{1}{x}}) = - \frac{21 e ^{\frac{1}{x}}}{x ^{2}}

= \frac{d}{d x} (- \frac{21 e ^{\frac{1}{x}}}{x ^{2}})

\frac{d}{d x} (- \frac{21 e ^{\frac{1}{x}}}{x ^{2}}) = - \frac{21 ( - e ^{\frac{1}{x}} - 2 e ^{\frac{1}{x}} x )}{x ^{4}}

= - \frac{21 ( - e ^{\frac{1}{x}} - 2 e ^{\frac{1}{x}} x )}{x ^{4}}