What is the derivative of e^{5/x} ?

The derivative of e^{5/x} is -(5e^{5/x})/(x^2)

What is the first derivative of e^{5/x} ?

The first derivative of e^{5/x} is -(5e^{5/x})/(x^2)

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derivative of

e^{\frac{5}{x}}

- \frac{5 e ^{\frac{5}{x}}}{x ^{2}}

Solution steps

\frac{d}{d x} (e^{\frac{5}{x}})

Apply the chain rule:

e^{\frac{5}{x}} \frac{d}{d x} (\frac{5}{x})

= e^{\frac{5}{x}} \frac{d}{d x} (\frac{5}{x})

\frac{d}{d x} (\frac{5}{x}) = - \frac{5}{x ^{2}}

= e^{\frac{5}{x}} (- \frac{5}{x ^{2}})

Simplify

e^{\frac{5}{x}} (- \frac{5}{x ^{2}}) : - \frac{5 e ^{\frac{5}{x}}}{x ^{2}}

= - \frac{5 e ^{\frac{5}{x}}}{x ^{2}}

\frac{\partial}{\partial x} ((y - x)^{2})

\frac{2}{x}, 8 x, \frac{1}{8} x

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

- 5 x^{4} + 5 x^{3} - x^{2} + x

\int_{- 7}^{7} 1 + (x)^{2} d x

What is the derivative of e^{5/x} ?
The derivative of e^{5/x} is -(5e^{5/x})/(x^2)
What is the first derivative of e^{5/x} ?
The first derivative of e^{5/x} is -(5e^{5/x})/(x^2)