1. The problem statement, all variables and given/known data Suppose the total cost of producing x units of a certain commodity is C(x)= (1/4*x^4) + (-37/3*x^3) + (280/2*x^2) + (1200x) + (100) Determine the largest and the smallest values of the MARGINAL cost C'(x) for 0<x<18 The largest value of the marginal cost is _____. The smallest value of the marginal cost is _____. Hint. The function f(x) that you have to MIN/MAX is the derivative of cost, i.e. f(x)=C'(x) 2. Relevant equations I found the derivative, which is (x^3) - (37*x^2) + (280x) +(1200) 3. The attempt at a solution So I found the derivative which is above and found the critical values which are x=3, x=-20, but the values must be between 0 and 18? I am not really understanding this question. please help!