first and second derivative

[mdem1234]

Find f'(x) for f(x)=e^x(x^2+2x+1)

Am i right in using the product rule? hence..

e^x(2x+2)+e^x(x^2+2x+1)???

How do i go about simplifying this or is it ok to leave it as it is?

and what rules do i use to get the second derivative from this? Thanks

Thanks guys!

One more question... Would the second derivative of this work out to be:

e^x(x^2+6x+7) ??

 

[galactus]

Yes, what you have looks good. Just factor out an e^x and simplify by adding like terms.

\(\displaystyle e^{x}(x^{2}+4x+3)\)

That's it.

 

[Deleted member 4993]

Not needed here - but observe that the term in parenthesis can be factorized further to give: e[sup:17asvezh]x[/sup:17asvezh](x+3)(x+1)