# Thread: HELP! Calculus Derivative Problem.

1. ## HELP! Calculus Derivative Problem.

I started working on a calculus derivative problem today, and got a really crazy answer as a result. I've scanned the problem with my work below. Did I do this correctly? If not, where did I go wrong? Thanks. ^.^

2. Originally Posted by HWilliams44
I started working on a calculus derivative problem today, and got a really crazy answer as a result. I've scanned the problem with my work below. Did I do this correctly? If not, where did I go wrong? Thanks. ^.^
Your second derivative is correct, but all the problem was asking for was the value of the second derivative at x = 2, which you found to be 16e^4 + 2e^2. Done!

3. Originally Posted by HWilliams44
I started working on a calculus derivative problem today, and got a really crazy answer as a result. I've scanned the problem with my work below. Did I do this correctly? If not, where did I go wrong? Thanks. ^.^
There is a typo in the last line of the left side: the final e^x should be e^(x^2).

$\displaystyle y''(x) = (4x^2 + 2)\ e^{x^2}$

$\displaystyle y''(2) = 18\ e^4 =\ ...$

4. Thank you all so much!!! You guys are lifesavers!