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Beliebt Rechnen >

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

Lösung

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

Lösung

- \frac{- e ^{\frac{1}{x}} - 2 e ^{\frac{1}{x}} x}{x ^{4}}

Schritte zur Lösung

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

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

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

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

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

Beliebte Beispiele

(dy)/(dx)= y/(x^2),y(1)=2

\frac{d y}{d x} = \frac{y}{x ^{2}}, y (1) = 2

derivative arctan(sin(2x))

d er i v a t i v e arctan (sin (2 x))

tangent f(x)=sqrt(x),\at x= 1/81

t an g e n t f (x) = x, at x = \frac{1}{81}

derivative \sqrt[5]{1/x}

d er i v a t i v e 5 \frac{1}{x}

integral from 0 to 3.5 of 90x

\int_{0}^{3.5} 90 x d x