Rate of change in production

Question

The total cost c(x) incurred by Aloha company in manufacturing surf boards a day given by c(x)=-10x²+300x+130 (0≤x≤15)

 

a. calculate c'(x)

b. what is the rate of change in total cost when level of production is 10 surf boards per day?

Answer 1

a. c'(x)=20x+300.

b. c'(10)=20*10+300=..