# simple derivative

• Sep 27th 2009, 07:52 AM
mech.engineer.major
simple derivative
what is the derivative of e^(x)-1?
• Sep 27th 2009, 07:55 AM
Defunkt
If it's $f(x) = e^x - 1$, then $f'(x)=e^x$.

If it's $f(x)= e^{x-1}$, then $f'(x) = e^{x-1}$
• Sep 27th 2009, 07:56 AM
skeeter
Quote:

Originally Posted by mech.engineer.major
what is the derivative of e^(x)-1?

$y = e^x - 1$

$\frac{dy}{dx} = e^x$

$y = e^{x-1}$

$\frac{dy}{dx} = e^{x-1}$

in general ...

$\frac{d}{dx} [e^u] = e^u \cdot \frac{du}{dx}$

where $u$ is a function of $x$
• Sep 27th 2009, 08:04 AM
mech.engineer.major
thank you