(d^2)/(dx^2)(e^{4/x})

解答

\frac{d ^{2}}{d x ^{2}} (e^{\frac{4}{x}})

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

求解步骤

\frac{d ^{2}}{d x ^{2}} (e^{\frac{4}{x}})

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

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

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

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

\int \frac{3 x}{x ^{2} + 2 x + 5} d x

\int \frac{( 2 x - 3 )}{9 - x ^{2}} d x

y^{^{'}} = - 0.5 y^{1.5}

\frac{\partial}{\partial y} (x arcsin (\frac{y}{x}))

d er i v a t i v e f (x) = (x + 5) (9 x + 5)