A standard diff is a non-serviceable item, in other words fill and forget*.
A factory fitted LSD is recommended an early oil change (can't remember the figures, possibly 2,000 miles?), though on an aftermarket one this is deemed unnecessary. Mine (Quaife) happened to be done after a couple of thousand, but only because it developed an oil leak so had to be removed to get to the seal.
* I usually change mine on all my cars around the 40,000 mile mark, mainly for my own peace of mind.