Usually you do not hear much noise from faulty differentials or wheel bearings while traveling in reverse. The load put on the differential changes position from reverse to forward, this can change or even eliminate the noise you are hearing.
You can also check for play at the inner cv joint of the axle. Firmly grab the joint right where it enters the differential and try to shake it up and down. Do this on both driver and passenger side. Some movement is completely normal but anything over an inch is a very good indicator that the bearings inside the differential are worn out.
You should also recheck for play at both front wheels. This will test the wheel bearing. Grab and shake at twelve and six and then try nine and three. Note: just because there is no play does not mean the bearing is fine. It is one of the few tests you can perform.
Nov 20, 2017 at 11:12 AM