Is this equation will be true?

\partial_{\nu} \Lambda_{\nu}^{\sigma} g_{\mu \nu} = \partial_{nu} g_{\mu \sigma}

where \Lambda_{\nu}^{\sigma} is a coordinates transformation and g_{\mu \nu} is a metric tensor.

In this equation, we made a transformation for metric tensor then partial derivative for g_{\mu \sigma} to get R.H.S but the partial derivative effect on \Lambda_{\nu}^{\sigma} first in L.H.S .