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

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

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

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

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derivative of

e^{\frac{7}{u}}

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\frac{d x}{d t} = x - 2

\int csc (\frac{3}{4}) x cot (\frac{3}{4}) x d x

\frac{d x}{d t} + \frac{10 x}{20000 - 5 t} = 5

n = 0 \sum \infty \frac{n ^{n}}{2 ^{n}}

\int - tan (x) + 1 d x

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