# Derivative of a function

• May 24th 2011, 06:32 PM
purplec16
Derivative of a function
Find the derivative of a function using the power rule:

$f(x) = 2x -5\sqrt{x} +{e}^{ x+1}$

The only thing that is throwing me off is the ${e}^{x+1 }$
• May 24th 2011, 06:37 PM
Mondreus
We know that $\frac{d}{dx}\left(e^x\right)=e^x$

Let $u=x+1 \implies \frac{du}{dx}=1$ and use the chain rule.

OR you could simply see that $e^{x+1}=e^1\cdot e^x$
• May 24th 2011, 06:48 PM
purplec16
I dont understand the 2nd line