anonymous
  • anonymous
differentiate. f(x)=ln[e^(7x^5)*sqrt(x)]
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
im stuck on the first term. can you bring the whoule thing to the front?
anonymous
  • anonymous
after seperating with the laws and stuff
anonymous
  • anonymous
is this \[\ln(e^{7x^5}\sqrt{x})\] because if so it is just \[7x^5+\frac{1}{2}\ln(x)\]

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anonymous
  • anonymous
\[\ln(e^{\text{stuff}})=\text{stuff}\]
anonymous
  • anonymous
oh cuz e and ln cancel? nice.
anonymous
  • anonymous
i am not sure i would use the work "cancel" but they are inverse functions, so i guess you can think of it that way
anonymous
  • anonymous
*word

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