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

1. Sep 13, 2013

### pellman

Given $g=\det(g_{\mu\nu})$, I find that

$$\frac{\partial g}{\partial g^{\mu\nu}}=-gg_{\mu\nu}$$

Can someone confirm if this is correct, please?

2. Sep 14, 2013

### Bill_K

Yes, that's correct.