anonymous
  • anonymous
Will someone please explain to me how to work these differentiation logarithmic functions? :(
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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shadowfiend
  • shadowfiend
What particular issues are you having?
shadowfiend
  • shadowfiend
i.e., do you have a specific problem you can show that you're having trouble with?
anonymous
  • anonymous
Sure :D \[dy/dx=x/(1+x^2) \] and I'm supposed to solve that by separating and integrating i believe, using the ln and then "e"-ing both sides to get rid of it, but I don't understand how!! Thank you! :)

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shadowfiend
  • shadowfiend
Hm. Ok, I don't have time to do the entire thing, but basically the starting point is the fact that using ln you can turn a division into a subtraction. So: \[\ln \frac{a}{b} = \ln a - \ln b\] You can use that to do: \[\ln \frac{dy}{dx} = \ln \frac{x}{1 + x^2}\] \[\ln \frac{dy}{dx} = \ln x - \ln(1 + x^2)\] Then you can integrate the two sides. Does that help?
anonymous
  • anonymous
Yes (: Thank you
shadowfiend
  • shadowfiend
Awesome! Good to hear :)

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