The Fundamental Theorem of Calculus

Hello all, I have 2 questions and if you could help me and explain them I would appreciate it so much. Thank you!

1. The marginal cost *C*′(*q*) (in dollars per unit) of producing *q* units is given in the following table. I found the answer of (a) which is 19,500 but how do I find (b) without a function to plug into my integral?

2. The graph of a derivative *f*′(*x*) is shown in Figure 5.67. Fill in the table of values for *f*(*x*) given that *f*(0) = 2.

Re: The Fundamental Theorem of Calculus

Isn't that exactly what "marginal cost" means?

Re: The Fundamental Theorem of Calculus

Quote:

Originally Posted by

**HallsofIvy** Isn't that exactly what "marginal cost" means?

Wouldn't I have to find how much it is to make one item which would be C'(q)? Except i'm not given any kind of formula that would allow me to find the derivative.