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Mathematics 6 Online
OpenStudy (anonymous):

Find the antiderivative of the product of 12 times x squared and e raised to the x cubed power.

OpenStudy (anonymous):

https://gyazo.com/478509ae044e1baff1f58fbdcd35069e

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

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

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

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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