# Thread: Derivative of a function

1. ## 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 ${e}^{x+1 }$

2. 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 $e^{x+1}=e^1\cdot e^x$

3. I dont understand the 2nd line