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THIS IS With Host... Your 100 200 300 400 500 Derivatives Diff’ability Physics Inverse Functions Exponential & Logs Special Rules.

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Presentation on theme: "THIS IS With Host... Your 100 200 300 400 500 Derivatives Diff’ability Physics Inverse Functions Exponential & Logs Special Rules."— Presentation transcript:

1

2

3 THIS IS

4 With Host... Your

5 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

9

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

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20 B 300

21

22 Find y”. y = tan x B 400

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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

36

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 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

48

49 E 200

50

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

52

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

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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

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57 F 100

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59 F 200

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61 F 300

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63 F 400

64

65 F 500

66 y = x – 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!


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