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Mathematics 16 Online
OpenStudy (anonymous):

y=xe^x-e^x

OpenStudy (anonymous):

what should i do here

OpenStudy (anonymous):

differentiate ?!

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

tk

OpenStudy (anonymous):

ok so dy -- = e^x + xe^x - e^x = xe^x dx

OpenStudy (anonymous):

i think u have an extra term

OpenStudy (anonymous):

x*e^x should be the answer

OpenStudy (anonymous):

-e^x diff is -e^x xe^x diff is e^x + xe^x e^x cancels out

OpenStudy (anonymous):

but how does xe^x go to e^x+xe^x

OpenStudy (anonymous):

no you must know the chain rule ... so xe^x u.v = u d/dx (v) + v d/dx(u)

OpenStudy (anonymous):

now* not no

OpenStudy (anonymous):

sorry i gtg but chain rule what you should use : )

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

did you get this?

OpenStudy (anonymous):

well, not till now, that i look at it more closely, i think i should use product rule for that frist term

OpenStudy (anonymous):

\[y=xe^x-e^x\] \[y'=xe^x+e^x-e^x=xe^x\]

OpenStudy (anonymous):

yup, gives me my anser

OpenStudy (anonymous):

thanks

OpenStudy (anonymous):

product rule for first one. there is no chain rule here

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