anonymous
  • anonymous
Find the antiderivative of the product of 12 times x squared and e raised to the x cubed power.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
https://gyazo.com/478509ae044e1baff1f58fbdcd35069e
anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • 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

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More answers

anonymous
  • anonymous
\[\frac{ e^x^3}{ 3 }\]
jim_thompson5910
  • 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
anonymous
  • anonymous
Oh ok sounds like good idea. Leme give it a go
anonymous
  • anonymous
None of these?
jim_thompson5910
  • jim_thompson5910
show me what you got for A and B when you derived them
anonymous
  • anonymous
\[A=4x^3(x^3)\]
anonymous
  • anonymous
e^x^3 should be in parenthesis
jim_thompson5910
  • jim_thompson5910
what's the derivative of x^3 ?
jim_thompson5910
  • jim_thompson5910
you forgot to apply the chain rule
anonymous
  • anonymous
3x^2
jim_thompson5910
  • jim_thompson5910
that will multiply with the 4
anonymous
  • anonymous
So it'll be 12x^2
jim_thompson5910
  • jim_thompson5910
yes
anonymous
  • anonymous
Making it A.
jim_thompson5910
  • jim_thompson5910
leading to 12x^2*e^(x^3)
jim_thompson5910
  • jim_thompson5910
yep it's A
anonymous
  • anonymous
you da best

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