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yeah sorry I didn't want to type "partial" \(\partial\) in the latex that many times :)

thanks a lot. can anyone confirm this is the correct answer?

this one is super tedious...give me a minute I'll do it with pen and paper...

alright thanks a lot. I really appreciate it.

I get:\[e^{t^3+t^2+t+3}(3t^2+2t+1)\]

thanks a lot! I see I made a basic calculus mistake but am glad I remember this stuff!