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

The answer to (d^2)/(dx^2)(e^{6/x}) is -(6(-6e^{6/x}-2e^{6/x}x))/(x^4)

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

\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}}

Solution steps

\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)

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

x \to 0 lim (cos (x))

- 6 x^{- 2}

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

What is (d^2)/(dx^2)(e^{6/x}) ?
The answer to (d^2)/(dx^2)(e^{6/x}) is -(6(-6e^{6/x}-2e^{6/x}x))/(x^4)