# Schwartz QFT coupling to the photon

I am reading Schwartz's QFT textbook. In Eq. (10.104) he writes: $$\left[i\partial_\mu-eA_\mu,i\partial_\nu-eA_\nu\right]~=~-e i[\partial_\mu A_{\nu}-\partial_\nu A_{\mu}]~=~ -e i F_{\mu \nu}. \tag{10.104}$$ I was wondering what has happened to the $-ie(A_\mu\partial_\nu-A_\nu\partial_\mu)$ term?