So, my due date is today, and no sign of baby

my question is, if baby doesn't come on her own dr will induce next monday night, which is 8 days past due date. I read that sometimes after your duedate dr's will perform nst's or bio profiles to check on baby but I also read that risks begin to occur after 42 weeks. Anyone else have any input on this? I won't even be seeing my regular dr at 40 week appt, he has boards and don't want to bring up extra tests if they really aren't necessary ...
Re: nst offered after due date?
(DS was born at 40w6d. This baby is currently still cooking at 41w1d, I have a NST tomorrow.)