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What's this equation come from?

  1. May 5, 2013 #1
    I have an equation like this,

    [itex]\frac{dZ}{zD\beta} = \frac{d}{d\beta}\ln Z[/itex],

    is it from [itex]\frac{d}{d\beta}\frac{dZ}{Z}[/itex] or from...?

    How we can prove this relation?
     
  2. jcsd
  3. May 5, 2013 #2

    Office_Shredder

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    Is your equation supposed to be
    [tex]\frac{1}{Z} \frac{ dZ}{d\beta} = \frac{d}{d\beta} \ln(Z) [/tex]
    If so, this is just the chain rule
     
  4. May 5, 2013 #3
    Thank you for quick replay.

    Yes, your relation is correct too. If this is a chain rule, so can i write them like one in the first thread?
     
  5. May 6, 2013 #4
    Hi all, I just want to know that my relation is correct or not?

    [tex]\frac{1}{Z}\frac{dZ}{d\beta} = \frac{d}{d\beta}\int\frac{dZ}{Z} = \frac{d}{d\beta}\left(\ln Z\right)[/tex]
     
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