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

Quick and (hopefully) easy question about derivative of det(g)

  1. Sep 13, 2013 #1
    Given [itex]g=\det(g_{\mu\nu})[/itex], I find that

    [tex]\frac{\partial g}{\partial g^{\mu\nu}}=-gg_{\mu\nu}[/tex]

    Can someone confirm if this is correct, please?
  2. jcsd
  3. Sep 14, 2013 #2


    User Avatar
    Science Advisor

    Yes, that's correct.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook