Derivative of a function

**purplec16** · May 24th 2011, 05:32 PM

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 ${e}^{x+1 }$

**Mondreus** · May 24th 2011, 05:37 PM

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

**purplec16** · May 24th 2011, 05:48 PM

I dont understand the 2nd line

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