derivatives of e^(2/x), e^(x/2)

[calchere]

I am having a little trouble with derivative of :

e^(2/x)

e^(x/2)

I know the derivative of e^x is e^x, but I'm not sure when there are numbers directly affecting the x.

I'm guessing that the e^(2/x) would be (1/2)e^(2/x)

and I'm also guessing e^(x/2) would be (2)e^(x/2)

Is this correct ?

 

[pka]

\(\displaystyle \L
\frac{{de^{f(x)} }}{{dx}} = f'(x)e^{f(x)}\)

 

[calchere]

So, say... the derivative of e^(2x) = 2e^(2x) ?

 

[stapel]

Yes.

Eliz.

 

[calchere]

Thanks