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}}

\frac{d}{d x} ((x^{5} - 7)^{2})

\int \frac{sin ( ln ( x ) )}{x} d x

\int \frac{x ^{2}}{( x ^{2} + 25 ) ^{\frac{3}{2}}} d x

\frac{d}{d x} (\frac{1}{- x ^{2}})

\frac{d y}{d x} = x + 2 y, y (0) = 6

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)