Find the derivative of a function using the power rule:

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

The only thing that is throwing me off is the $\displaystyle {e}^{x+1 } $

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- May 24th 2011, 05:32 PMpurplec16Derivative of a function
Find the derivative of a function using the power rule:

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

The only thing that is throwing me off is the $\displaystyle {e}^{x+1 } $ - May 24th 2011, 05:37 PMMondreus
We know that $\displaystyle \frac{d}{dx}\left(e^x\right)=e^x$

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

OR you could simply see that $\displaystyle e^{x+1}=e^1\cdot e^x$ - May 24th 2011, 05:48 PMpurplec16
I dont understand the 2nd line