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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?
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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!
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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
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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)) ?
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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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