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

The answer to (d^4)/(dx^4)(e^{2/x}) is -(2(-24e^{2/x}x^3-72e^{2/x}x^2-48e^{2/x}x-8e^{2/x}))/(x^8)

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

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

- \frac{2 ( - 24 e ^{\frac{2}{x}} x ^{3} - 72 e ^{\frac{2}{x}} x ^{2} - 48 e ^{\frac{2}{x}} x - 8 e ^{\frac{2}{x}} )}{x ^{8}}

Solution steps

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

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

= \frac{d ^{3}}{d x ^{3}} (- \frac{2 e ^{\frac{2}{x}}}{x ^{2}})

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

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

\frac{d}{d x} - \frac{2 ( - 2 e ^{\frac{2}{x}} - 2 e ^{\frac{2}{x}} x )}{x ^{4}} = - \frac{2 ( 6 e ^{\frac{2}{x}} x ^{2} + 4 e ^{\frac{2}{x}} + 12 e ^{\frac{2}{x}} x )}{x ^{6}}

= \frac{d}{d x} - \frac{2 ( 6 e ^{\frac{2}{x}} x ^{2} + 4 e ^{\frac{2}{x}} + 12 e ^{\frac{2}{x}} x )}{x ^{6}}

\frac{d}{d x} - \frac{2 ( 6 e ^{\frac{2}{x}} x ^{2} + 4 e ^{\frac{2}{x}} + 12 e ^{\frac{2}{x}} x )}{x ^{6}} = - \frac{2 ( - 24 e ^{\frac{2}{x}} x ^{3} - 72 e ^{\frac{2}{x}} x ^{2} - 48 e ^{\frac{2}{x}} x - 8 e ^{\frac{2}{x}} )}{x ^{8}}

= - \frac{2 ( - 24 e ^{\frac{2}{x}} x ^{3} - 72 e ^{\frac{2}{x}} x ^{2} - 48 e ^{\frac{2}{x}} x - 8 e ^{\frac{2}{x}} )}{x ^{8}}

\int 3 x e^{7 x} d x

(y - (x^{2} + y^{2})) d x - x d y = 0

\frac{\partial}{\partial y} (ln (x + y + z))

\frac{5 e ^{- s}}{s + 1}

\int_{0}^{3} π (x)^{2} d x

What is (d^4)/(dx^4)(e^{2/x}) ?
The answer to (d^4)/(dx^4)(e^{2/x}) is -(2(-24e^{2/x}x^3-72e^{2/x}x^2-48e^{2/x}x-8e^{2/x}))/(x^8)