I don't know if it's a normal function on all M5's, but the RH mirror (on LHD cars) turns down to show the corner of the car when transmission is on reverse. However, the mirror stays down when I put it on some else gear and I have to lift it back manually from the switch.
If I do it again, it seems to remember the original position and will turn itself back again... but then again, after restart, same issue.
Is there some kind of learning procedure to be done for the mirror, so it will remember its place? The memory function on drivers door doesn't seem to help at all.