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Natural log in PDE

  1. Oct 17, 2011 #1
    Is the following relationship true?:

    [itex]\frac{\partial (ln(k))}{\partial P}=\frac{1}{k}\frac{\partial k}{\partial P}[/itex]

    I am getting both of these terms from a paper on mineral physics and they seem to use both terms interchangeably. If so, how are these related?
  2. jcsd
  3. Oct 17, 2011 #2


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    Homework Helper

    So yes that is true except at zero or crossing branch cuts.
  4. Oct 21, 2011 #3
    According to the chain rule, yes
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