What is the derivative of e^{7/x} ?

The derivative of e^{7/x} is -(7e^{7/x})/(x^2)

What is the first derivative of e^{7/x} ?

The first derivative of e^{7/x} is -(7e^{7/x})/(x^2)

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derivative of

e^{\frac{7}{x}}

- \frac{7 e ^{\frac{7}{x}}}{x ^{2}}

Solution steps

\frac{d}{d x} (e^{\frac{7}{x}})

Apply the chain rule:

e^{\frac{7}{x}} \frac{d}{d x} (\frac{7}{x})

= e^{\frac{7}{x}} \frac{d}{d x} (\frac{7}{x})

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

= e^{\frac{7}{x}} (- \frac{7}{x ^{2}})

Simplify

e^{\frac{7}{x}} (- \frac{7}{x ^{2}}) : - \frac{7 e ^{\frac{7}{x}}}{x ^{2}}

= - \frac{7 e ^{\frac{7}{x}}}{x ^{2}}

n = 0 \sum \infty ln (\frac{1}{n + 1})

\frac{d y}{d x} = \frac{2 x y - y ^{2}}{2 x y - x ^{2}}

y = 8 x sin (x)

x \to 0 lim (\frac{sin ( 3 ) ( x )}{x})

\int x x^{4} - 9 d x

What is the derivative of e^{7/x} ?
The derivative of e^{7/x} is -(7e^{7/x})/(x^2)
What is the first derivative of e^{7/x} ?
The first derivative of e^{7/x} is -(7e^{7/x})/(x^2)