What is the derivative of e^{8/x} ?

The derivative of e^{8/x} is -(8e^{8/x})/(x^2)

What is the first derivative of e^{8/x} ?

The first derivative of e^{8/x} is -(8e^{8/x})/(x^2)

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\frac{d}{d x} (e^{\frac{8}{x}})

- \frac{8 e ^{\frac{8}{x}}}{x ^{2}}

Solution steps

\frac{d}{d x} (e^{\frac{8}{x}})

Apply the chain rule:

e^{\frac{8}{x}} \frac{d}{d x} (\frac{8}{x})

= e^{\frac{8}{x}} \frac{d}{d x} (\frac{8}{x})

\frac{d}{d x} (\frac{8}{x}) = - \frac{8}{x ^{2}}

= e^{\frac{8}{x}} (- \frac{8}{x ^{2}})

Simplify

e^{\frac{8}{x}} (- \frac{8}{x ^{2}}) : - \frac{8 e ^{\frac{8}{x}}}{x ^{2}}

= - \frac{8 e ^{\frac{8}{x}}}{x ^{2}}

\int 2 - x^{2} d x

\int \frac{9 ln ^{2} ( x ) + 8 ln ( x )}{x} d x

\frac{\partial}{\partial x} (4 x)

f (x) = 1 + x

\int 2 x + sin (x) d x

What is the derivative of e^{8/x} ?
The derivative of e^{8/x} is -(8e^{8/x})/(x^2)
What is the first derivative of e^{8/x} ?
The first derivative of e^{8/x} is -(8e^{8/x})/(x^2)