1. Derivatives Jeopardy Rates of Change Q $100 Q $100 Q $100 Q $100
Tangent Lines
Basic Rules
Products & Quotients
Chain Rule (or not)
Rates of Change
Q $100
Q $100
Q $100
Q $100
Q $100
Q $200
Q $200
Q $200
Q $200
Q $200
Q $300
Q $300
Q $300
Q $300
Q $300
Q $400
Q $400
Q $400
Q $400
Q $400
Q $500
Q $500
Q $500
Q $500
Q $500
Final Jeopardy

2. $100 Question from H1
Write the equation of the line tangent to the graph of
f(x) = 3x2 – 5 that passes through the point (2, 7).

3. $100 Answer from H1
y = 12x – 17

4. $200 Question from H1
Write the equation of the line tangent to the graph of
f(x) = 4x3 + 3x2 – 2x that passes through the point (-1, 1).

5. $200 Answer from H1
y = 4x + 5

6. $300 Question from H1
Write the equation of the line tangent to the graph of
f(x) = that passes through the point (4, 2).

7. $300 Answer from H1

8. $400 Question from H1
Name the coordinates of the point where the line tangent to the graph of f(x) = 3x2 – 5 is horizontal.

9. $400 Answer from H1
(0, -5)

10. $500 Question from H1
Name the coordinates of the points where the line tangent to the graph of f(x) = x3 – 48x is horizontal.

11. $500 Answer from H1
(-4, 128) and (4, -128)

12. $100 Question from H2
Find the derivative of the function below.

13. $100 Answer from H2

14. $200 Question from H2
Find the derivative of the function below.

15. $200 Answer from H2

16. $300 Question from H2
Find the derivative of the function below.

17. $300 Answer from H2

18. $400 Question from H2
Find the derivative of the function below.

19. $400 Answer from H2

20. $500 Question from H2
Find the derivative of the function below.

21. $500 Answer from H2

22. $100 Question from H3
Find the derivative of the function below.

23. $100 Answer from H3

24. $200 Question from H3
Find the derivative of the function below.

25. $200 Answer from H3

26. $300 Question from H3
Find the derivative of the function below.

27. $300 Answer from H3

28. $400 Question from H3
Find the derivative of the function below.

29. $400 Answer from H3

30. $500 Question from H3
Find the derivative of the function below.

31. $500 Answer from H3

32. $100 Question from H4
Find the derivative of the function below.

33. $100 Answer from H4

34. $200 Question from H4
Find the derivative of the function below.

35. $200 Answer from H4

36. $300 Question from H4
Find the derivative of the function below.

37. $300 Answer from H4

38. $400 Question from H4
Find the derivative of the function below.

39. $400 Answer from H4

40. $500 Question from H4
Find the derivative of the function below.

41. $500 Answer from H4

42. $100 Question from H5
The position for an object is given by s(t) = 2t2 - 6t - 4 , measured in feet with time in seconds. Find average velocity of the object on [1, 4].

43. $100 Answer from H5

44. $200 Question from H5
The position for an object is given by s(t) = 2t2 - 6t - 4 , measured in feet with time in seconds. Find the instantaneous velocity when t = 4.

45. $200 Answer from H5

46. $300 Question from H5
A city is hit by an Asian flu epidemic. Officials estimate that t days after the beginning of the epidemic, the number of persons sick with the flu is given by
p(t) = 120t2 – 2t3, when 0 ≤ t ≤ 40. At what rate is the flu spreading ten days after the beginning of the flu epidemic?

47. $300 Answer from H5

48. $400 Question from H5
A ball rolls down a long inclined plane so that its distance s from its starting point after t seconds is
s = 4.5t2 + 2t feet. When will its instantaneous velocity be 38 feet per second?

49. $400 Answer from H5

50. $500 Question from H5
A ball is dropped vertically from a height of 100 meters. Assume that the acceleration due to gravity has a magnitude of 10 m/s 2 . What is the velocity at t = 2 ?

51. $500 Answer from H5

52. Final Jeopardy
Suppose that the amount of water in a holding tank at t minutes is given by V(t) = 2t2 – 16t Determine each of the following:
Is the volume of the water increasing or decreasing at t = 1 minute?
Is the volume of the water increasing or decreasing at t = 5 minutes?
Is the volume of the water in the tank changing faster at t = 1 or at t = 5?
Is the volume of the water in the tank not ever changing. If so, when?

53. Final Jeopardy Answer