BB,
G550 has supplied you with the appropriate text from Appendix B to Part 29 (which you could have found in less time than it took to type your implied insult - that is if you are interested in the answer and not in self-aggrandisement). I recommend reading the whole appendix - it will add to your education.
I would add to G550's post - as far as pilots are concerned, they do not need to know how Vmini is arrived at just that it is there, as a limitation, for good reasons and should not be ignored (just like Vne). It is a feature of the design of the helicopter.
It has no 'direct' relationship with the Autopilot but mainly with the ability of the helicopter to stay within the trim limits when flown on instruments - as stated in the extract.
As for your cigar...
Jim