1. ## Derivative Word Problem

The cost function for production of a commodity is given below. C(x) = 352 + 21x - 0.07x2 + 0.0006x^3. C'(x) = 21 - .14x + .0018x^2.

How do I find the actual cost of producing the 101st item? I tried plugging x = 101 into C'(x), but that was wrong. Can you please show me how to find the actual cost and explain how that is different from using the derivative?

2. have you tried plugging x = 101 into C(x)?

3. Yeah. I got \$2377.11. But I still don't think it's the correct answer... is it?

4. Originally Posted by maziana
the cost function for production of a commodity is given below. c(x) = 352 + 21x - 0.07x2 + 0.0006x^3. C'(x) = 21 - .14x + .0018x^2.

How do i find the actual cost of producing the 101st item?
$c(101) - c(100)$