What is the derivative of e^{3/x} ?

The derivative of e^{3/x} is -(3e^{3/x})/(x^2)

What is the first derivative of e^{3/x} ?

The first derivative of e^{3/x} is -(3e^{3/x})/(x^2)

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derivative of

e^{\frac{3}{x}}

- \frac{3 e ^{\frac{3}{x}}}{x ^{2}}

Solution steps

\frac{d}{d x} (e^{\frac{3}{x}})

Apply the chain rule:

e^{\frac{3}{x}} \frac{d}{d x} (\frac{3}{x})

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

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

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

Simplify

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

= - \frac{3 e ^{\frac{3}{x}}}{x ^{2}}

\int cos^{3} (\frac{x}{13}) d x

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What is the derivative of e^{3/x} ?
The derivative of e^{3/x} is -(3e^{3/x})/(x^2)
What is the first derivative of e^{3/x} ?
The first derivative of e^{3/x} is -(3e^{3/x})/(x^2)