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OpenStudy (anonymous):
Find the antiderivative of the product of 12 times x squared and e raised to the x cubed power.
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OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
you can take advantage of the multiple choice
what you can do is differentiate each answer choice and see which give you the original problem back
OpenStudy (anonymous):
\[\frac{ e^x^3}{ 3 }\]
jimthompson5910 (jim_thompson5910):
for example, say the problem is "find the antiderivative of 2x"
if one answer choice was x^2+C, then differentiating x^2+C gives you 2x back again
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OpenStudy (anonymous):
Oh ok sounds like good idea. Leme give it a go
OpenStudy (anonymous):
None of these?
jimthompson5910 (jim_thompson5910):
show me what you got for A and B when you derived them
OpenStudy (anonymous):
\[A=4x^3(x^3)\]
OpenStudy (anonymous):
e^x^3 should be in parenthesis
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jimthompson5910 (jim_thompson5910):
what's the derivative of x^3 ?
jimthompson5910 (jim_thompson5910):
you forgot to apply the chain rule
OpenStudy (anonymous):
3x^2
jimthompson5910 (jim_thompson5910):
that will multiply with the 4
OpenStudy (anonymous):
So it'll be 12x^2
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jimthompson5910 (jim_thompson5910):
yes
OpenStudy (anonymous):
Making it A.
jimthompson5910 (jim_thompson5910):
leading to 12x^2*e^(x^3)
jimthompson5910 (jim_thompson5910):
yep it's A
OpenStudy (anonymous):
you da best
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