| Usually people are started at 10 U and work their way up. The normal basal requirement is about 1 unit per hour or 24 units per day. Certainly evryone can vary from that but 9 units seems really low.
If you are going down after meals, I'd suspect the meal bolus (you do take a bolus per meal?) to be too big.
Skip a meal, and watch your Bg for a few hours If still goes down your basal level is still too high, but if the Bg goes up, the basal is low.
There is no a priori reason, BTW, why you couldn't have a dose as small as you can get it; half unit. It just wouldn't do very much. | 
