I've been having the same problem tonight. Compounding the OP's issue I was trying to go the other way as I was failing to access the AD domain and DC's correctly; from a persistent static everytime I rebooted trying to make it remember I'd changed to use DHCP. Kept reverting to static.
Beat head off a brick wall using the old non-Metro network connection settings to switch to DHCP as screenied in Run5k's answer above wasn't working. It changed the setting fine in the session but still couldn't access AD/DC. As soon as rebooted would revert.
Happening across the IP Settings section in the new Metro network configuration section of the Windows 10 Settings pages to switch from static to AutoMatic DHCP; automagically everything just started working; picked up the DC, immediately required me to update the cached network password (instead of requiring an old no-longer used one) and I gained full AD access. No huge surprises that the temporary port of the old familiar control panel dialogs isn't working quite correctly any more... just a shame the new UI is so pants... Upon reboot, remembered the new setting.