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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

    Bill_K

    User Avatar
    Science Advisor

    Yes, that's correct.
     
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