# Math Help - how to take the derivative of e to a polynomial

1. ## how to take the derivative of e to a polynomial

My objective is to take the derivative of this expression

and evaluate it at 0, so I want f'(0) and I think I can do that using the quotient rule and the chain rule once I know how to take the derivative of the first term e^(x^2+1)

can I do this?:

using the power rule I could get 2x*e^(x^2+1)

2. ## Re: how to take the derivative of e to a polynomial

Hello, kingsolomonsgrave!

Recall this formula:

. . If $y \:=\:e^u$, then $y' \;=\;e^uu'$

Therefore, the derivative of $e^{x^2+1}$ is: . $e^{x^2+1}\cdot2x \;=\;2xe^{x^2+1}$