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

The answer to (d^2)/(dx^2)(e^{1/x}) is -(-e^{1/x}-2e^{1/x}x)/(x^4)

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

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

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

Solution steps

\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}}

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

arctan (sin (2 x))

f (x) = x, at x = \frac{1}{81}

5 \frac{1}{x}

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

What is (d^2)/(dx^2)(e^{1/x}) ?
The answer to (d^2)/(dx^2)(e^{1/x}) is -(-e^{1/x}-2e^{1/x}x)/(x^4)