1. D Problem #1 Critical numbers Endpoints Plug in critical numbers and endpoints into f(x) to find the largest f(x) Mathboat.com

2. Problem #2 A Mathboat.com

3. At x=2, f’(x) is decreasing. [f’(x)]’ = f’’(x) f’’ (2) < f’ (2) < f (2) negative zerofour, positive Given: f (2) = 4 From the graph: f’(2) = 0 f’’(2) is negative. Solution: y=f’(x) Problem #3 0 1 2 C Mathboat.com

4. Problem #4 C Mathboat.com

5. Solution: Problem #5 C Mathboat.com

6. Problem #6 B Mathboat.com

7. Problem #7 C Mathboat.com

8. By the definition of inverse: Problem #8 C Set f(x)= -1 Let’s find f’(3) Mathboat.com

9. Local maximum is the absolute maximum since function is first increasing, then decreasing -.4.4 +max Problem #9 D Mathboat.com

10. B Problem #10 Mathboat.com

11. Problem #11 A Mathboat.com

12. Problem #12 B Mathboat.com

13. Find the points of intersections of these two curves: 2y=x 2 +4 ; y= x 2 Substitute into the formula Problem #13 D Mathboat.com

14. Problem #14 D By definition of derivative, Mathboat.com

15. Problem #15 D Mathboat.com

16. OR By 2 nd fundamental theorem Problem #16 B Mathboat.com

17. Problem #17 x y dcba - + D Mathboat.com

18. Problem #18 A Mathboat.com

19. Factor out Problem #19 C Implicitly differentiate Plug in x=0, y=1 Mathboat.com

20. Problem #20 E Mathboat.com

21. Problem #21 D Mathboat.com

22. Problem #22 B Mathboat.com

23. Problem #23 D Mathboat.com

24. y 1.All dashes on the same vertical axis are  does not have y Problem #24 B Mathboat.com

25. Problem #25 D Mathboat.com

26. Find critical numbers by finding zero(s) of when is increasing atand Problem #26 C Mathboat.com

27. Problem #27 C Mathboat.com

28. Problem #28 B Mathboat.com

29. Problem #29 B Mathboat.com

30. Area under the curve = area of the triangle 1 1 By 2 nd Fundamental Theorem of Calculus Problem #30 B Mathboat.com

31. Find the x-intercepts: Problem #31 C Mathboat.com

32. Problem #32 A Mathboat.com

33. = 8 Problem #33 C Mathboat.com

34. Problem #34 B Mathboat.com

35. Problem #35 D Mathboat.com

36. Problem # 36 D Mathboat.com

37. Problem #37 D Mathboat.com

38. Problem #38 A By 2 nd Fundamental Theorem of Calculus: Mathboat.com

39. Problem #39 Graph it! C Mathboat.com

40. R r Problem #40 E Mathboat.com

41. Problem #41 B Mathboat.com

42. Problem #42 _ + D Mathboat.com

43. Problem #43 B Mathboat.com

44. 3-9 Problem #44 C Mathboat.com

45. or Problem #45 D Mathboat.com