Prove : $d$$\omega$$(V,W)$=$V \omega (W) - W \omega(V) -\omega([V,W])$ in local coordinates
where $\omega$ is a one-form and V,W are vector fields on a smooth manifold M.
I do not know how to represent $d$$\omega$$(V,W)$ in terms of local coordinates.
Can anyone explain this to me?
Thank you.