Name: SUMMER II, 2014 MATH 142:203 QUIZ - 5 • This is an individual quiz, open notes, open books. • Read each question carefully, answer each question completely, box your answers. • Show all of your work; no credit will be given for unsupported answers. 1. (1 pt each) Find the derivative of each function. It is not necessary to simplify the results. a) π f (x) = 2 e b) g(x) = 2x4 + x − 5 c) f (t) = √ 3 t4 d) g(s) = 1 + 2s3 s2 + 2 e) h(r) = (ex + 1)lnx 2. (2.5 pts) Find the x-values on the graph of y = f (x) = x2 − 1 2x where the tangent line is perpendicular to the line y = 2x − 9. √ 3. (2.5 pts) The cost of producing a bag is given by C(x) = 5 x + 1 + 500. Each bag is sold for $20. Find the marginal profit C 0 at x = 1000. The meaning of this problem is that the profit would increase by approximately $ C 0 (1000) if they were to increase production to 1001 bags.