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5. 100 200 300 400 500 Derivatives Diff’ability Physics Inverse Functions Exponential & Logs Special Rules

6. Derive: y = tan x A 100

7. dy/dx = sec 2 x A 100

8. A 200

10. A 300 Write the definition of the derivative.

11. A 300

12. Write the equation of the tangent line to the graph of f (x) if f (2) = 1 and f ’(2) = 5 A 400

13. y – 1 = 5(x – 2) A 400

14. Sketch f ’(x) given f (x). A 500 f (x)

15. A 500 f ‘ (x)

16. Find f ’(x). f (x) = xcosx B 100

17. f ’ (x) = cosx – xsinx B 100

18. B 200

20. B 300

22. Find y”. y = tan x B 400

24. B 500

25. (0,1) B 500

26. True or False. If f has a derivative at x = a, then f is continuous at x = a. C 100

27. TRUE C 100

28. True or False. If f is continuous at x = a, then f has a derivative at x = a. C 200

29. FALSE C 200

30. C 300

31. (- ,-2)  (-2,2)  (2,  ) C 300

32. DAILY DOUBLE C 400 DAILY DOUBLE Place A Wager

33. C 400

34. x = 2 C 400

35. C 500

37. The derivative of position D 100

38. Velocity

39. Derivative of Velocity D 200

40. Acceleration

41. D 300 Derivative of Acceleration (or the person next to you)

42. D 300 Jerk

43. D 400 2 nd derivative of position

44. Acceleration D 400

45. A particle not moving means… D 500

46. Velocity is zero D 500

47. E 100

49. E 200

51. If f (2) = 3 and f ’(2) = 7 and g(x) = f -1 (x), find g’(3). E 300

53. If f (1) = 6, f (6) = 5, f ’(1) = 3, f ’(6) = 4 and g(x) = f -1 (x), find g’(6). E 400

55. If f (2) = 5, f (6) = 2, f ’(2) = 3, f ’(6) = 4 and g(x) = f -1 (x), find the equation of the tangent line of g(x) at x = 2. E 500

57. F 100

59. F 200

61. F 300

63. F 400

65. F 500

66. y = 14.778x – 7.389 F 500

67. The Final Jeopardy Category is: Terminology/Notation Please record your wager. Click on screen to begin

68. When writing an answer, you should avoid using this pronoun. Click on screen to continue

69. What is IT? Click on screen to continue

70. Thank You for Playing Jeopardy!