(d^2)/(dx^2)(e^{6/x})

Lösung

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

- \frac{6 ( - 6 e ^{\frac{6}{x}} - 2 e ^{\frac{6}{x}} x )}{x ^{4}}

Schritte zur Lösung

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

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

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

\frac{d}{d x} (- \frac{6 e ^{\frac{6}{x}}}{x ^{2}}) = - \frac{6 ( - 6 e ^{\frac{6}{x}} - 2 e ^{\frac{6}{x}} x )}{x ^{4}}

= - \frac{6 ( - 6 e ^{\frac{6}{x}} - 2 e ^{\frac{6}{x}} x )}{x ^{4}}

x \to \infty lim (- 3 x^{3} + x)

a re a y = 0, y = 3 (x^{3} - x)

x \to 0 lim (cos (x))

d er i v a t i v e - 6 x^{- 2}

\int_{- \infty}^{0} x e^{- 2 x} d x