The marginal cost of manufacturing x yards of a certain fabric is
C'(x)= 3 - 0.01x + 0.000006x^2 (in dollars per yard). Find the increase in cost if the production level is raised from 1000 yards to 4500 yards.
I tried a couple of different combinations and didn't get any answers resembling the correct one. Can someone show the process, please? I should be able to pinpoint where I'm messing up.
EDIT: New to the forum, and just looked over the rules. To clarify, I tried the following:
c'(4500) - c'(1000)
c(4500) - c(4500)
And I tried some combinations where I took the answers from the top and inserted into the c(x). I would say I messed up with a careless error, but I worked and reworked the math to be entering it wrong or messing up multiplication, etc. Any help is very much appreciated.