The cost, in dollars, of producing x belts is given by C(x)=865+12x+0.073x^2. Find the rate at which average cost is changing when 676 belts have been produced

Question

When 676 belts have been produced, the average cost is changing at what for each additional belt?

Answer 1

To find the rate at which the average cost is changing, we find the derivative of C(x). 

 

C'(x) = 12 + 0.146x

 

 

Then evaluate  C'(676).