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Mathematics 18 Online
OpenStudy (amenah8):

find dy/dx of y = x^3e^x Click to see my work. I can't figure out what to do next. simplify?

OpenStudy (amenah8):

dy/dx = (x^3)(e^x) + (e^x)(3x^2)

OpenStudy (amenah8):

is it already simplified?

OpenStudy (ac3):

sorry got caught up with something is this the original?

OpenStudy (ac3):

\[x ^{3}e ^{e}\]

OpenStudy (amenah8):

yes!

OpenStudy (amenah8):

thank you for helping me again :)

OpenStudy (ac3):

then your wrong lol. e^e is just a number just treat like if it was a 3 or 4 or something

OpenStudy (ac3):

you only take the derivative of something if it has an variable in it like x for example

OpenStudy (amenah8):

oh wait! it is e^x, not e^e

OpenStudy (ac3):

oh then in that case

OpenStudy (ac3):

your right

OpenStudy (amenah8):

i don't think it can be further simplified

OpenStudy (amenah8):

right?

OpenStudy (ac3):

you can factor our an e^x to simplify but that's about it.

OpenStudy (amenah8):

so: e^x((x^3 + 3x^2)) ?

OpenStudy (ac3):

yea that's about all you can do. again if you don't need to simplify don't

OpenStudy (amenah8):

i'm not sure if i do. but it's just easier for me to understand it simplified. thanks so much!! on to the next question... :(

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