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anonymous

  • 5 years ago

Will someone please explain to me how to work these differentiation logarithmic functions? :(

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  1. shadowfiend
    • 5 years ago
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    What particular issues are you having?

  2. shadowfiend
    • 5 years ago
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    i.e., do you have a specific problem you can show that you're having trouble with?

  3. anonymous
    • 5 years ago
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    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! :)

  4. shadowfiend
    • 5 years ago
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    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?

  5. anonymous
    • 5 years ago
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    Yes (: Thank you

  6. shadowfiend
    • 5 years ago
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    Awesome! Good to hear :)

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