Mathematics
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OpenStudy (anonymous):
Could someone please help me out with this problem please
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OpenStudy (anonymous):
OpenStudy (anonymous):
@satellite73 can you please help me
OpenStudy (anonymous):
@smokeydabear can you help me figure this problem out please
OpenStudy (anonymous):
@Callisto can you please help me out
OpenStudy (anonymous):
@KingGeorg could you help me with a problem
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OpenStudy (anonymous):
@KingGeorge could you please help me with this problem
OpenStudy (anonymous):
can you help me
OpenStudy (anonymous):
@electrokid can you please help me
OpenStudy (anonymous):
|dw:1368585766255:dw|
so, we first have to find its derivative
OpenStudy (anonymous):
ok
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OpenStudy (anonymous):
so, what do you get for the derivative?
notice that you wil have to use the product rule here since there are two things multiplying eachother
OpenStudy (anonymous):
I am not familiar with the product rule we have only learned the chain rule so far
OpenStudy (anonymous):
we are justbeginning to learn how to do the chain rule so do you mind walking me through it
OpenStudy (anonymous):
\[
{d\over dx}(u\cdot v)=u'v+uv'
\]
OpenStudy (anonymous):
in this problem, you have
\[x\cdot e^{2x}\]
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OpenStudy (anonymous):
ok yup I am following
OpenStudy (anonymous):
now, apply the formula I showed above
OpenStudy (anonymous):
it would be x v+u e^2x
OpenStudy (anonymous):
well, when I said that, I meant
\[u=x\\v =e^{2x}\\
{d\over dx}(xe^{2x})={d\over dx}(x)e^{2x}+x{d\over dx}(e^{2x})
\]kapeesh?
OpenStudy (anonymous):
oh I put them in the form when you did the v'u thing
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OpenStudy (anonymous):
I got what you mean though
OpenStudy (anonymous):
yep
all you gotta do is simplify that
OpenStudy (anonymous):
x^2(e2x)
OpenStudy (anonymous):
? lets see your steps ?
OpenStudy (anonymous):
and use the equation editor, will ya
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OpenStudy (anonymous):
I took the x's and combined to make x^2 then I combined e^2x oh that should be e^4x
OpenStudy (anonymous):
? no no wayy off there
OpenStudy (anonymous):
I amconfussed then
OpenStudy (anonymous):
steps:
look at what I wrote, derivative of "x" times \(e^{2x}\) + x times derivative of \(e^{2x}\)
OpenStudy (anonymous):
ok
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OpenStudy (anonymous):
ok then what