What is the derivative of e^{(2/x)} ?

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

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

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

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derivative of

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int_{- 2}^{2} - 3 x^{2} - 4 x d x

\int \frac{5}{x ^{2} + 3 x - 4} d x

\int (5 x - 3)^{4} d x

y = \frac{x ^{2}}{3} + x + \frac{1}{2}

\frac{90}{x}

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