Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    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]
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook