I replaced all my fluids with royal purple not long ago, and I was told I didn't need to add anything for the limited slip because it is a synthetic lubricant. Now when I am in parking lots and other similar situations I get lots of inside tire chirp and clunking. Is this fairly normal for an unloaded truck?

 

Fairly normal for no slip additive in the oil. If you want to reduce that problem, just add a little of the Mopar LSD additive. The synthetic lube is better, but doesn't entirely remove the need for the additive.

 

Go to the dealer and by the additive. Slowly add an ounce at a time until the condition goes away. I used the whole bottle at once, and I have times when the diff will not lock and I need it the most. I am going to have to drain mine and slowly add additive.