Mathematics
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OpenStudy (lifeisadangerousgame):
Could someone explain why this is (x+2)?
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OpenStudy (lifeisadangerousgame):
I don't understand why the answer is (x+2)e^x
OpenStudy (3mar):
May I help?
OpenStudy (lifeisadangerousgame):
Sure!
OpenStudy (3mar):
Thank you.
OpenStudy (3mar):
Are you familiar with the derivatives?
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OpenStudy (lifeisadangerousgame):
Yes
OpenStudy (lifeisadangerousgame):
I'm just starting to learn the product rule
OpenStudy (3mar):
at f'(x) or at f''(x)??
OpenStudy (lifeisadangerousgame):
at f(x)
OpenStudy (3mar):
mean f'(x)
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OpenStudy (lifeisadangerousgame):
What?
OpenStudy (3mar):
Where are you stuck?
OpenStudy (lifeisadangerousgame):
I'm stuck on why the end answer is (x+2)e^x. Why x + 2?
OpenStudy (3mar):
ok
the result of f'(x) =(x+1)e^x got it? satisfied?
OpenStudy (lifeisadangerousgame):
I know that, I'm talking about part b)
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OpenStudy (3mar):
Ok
I just want to be agree about one point where we will take off!
OpenStudy (3mar):
f''(x)=(x+1).[e^x]+(e^x)[1]
OpenStudy (3mar):
ok here?
OpenStudy (lifeisadangerousgame):
Yeah
OpenStudy (3mar):
So can you simplify it a little bit?
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OpenStudy (lifeisadangerousgame):
(x+1)e^x + e^x
OpenStudy (3mar):
take e^x as a common!
OpenStudy (3mar):
@LifeIsADangerousGame
OpenStudy (lifeisadangerousgame):
I don't really understand, but that's okay! Thank yo ufor taking the time to help me
OpenStudy (3mar):
Please can I continue?
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OpenStudy (lifeisadangerousgame):
If you want you can, but I kind of already started working on the quotient rule
OpenStudy (3mar):
One min , no more!
May I?
OpenStudy (3mar):
\[(x+1)e^x + e^x=e^x[(x+1)+1]=e^x[x+2]\]
That is it!
I hope you got what you are looking for!
OpenStudy (lifeisadangerousgame):
Ohh! That makes sense. Thank you!!
OpenStudy (3mar):
I told you it takes 1 min no more
Hope that helps