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anonymous
 5 years ago
Will someone please explain to me how to work these differentiation logarithmic functions? :(
anonymous
 5 years ago
Will someone please explain to me how to work these differentiation logarithmic functions? :(

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shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0What particular issues are you having?

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0i.e., do you have a specific problem you can show that you're having trouble with?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Sure :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! :)

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Hm. 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?

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Awesome! Good to hear :)
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