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The Tangent Line The Secant Line. The Tangent Line The Secant Line.

Published byMaximillian Arnold Modified over 8 years ago

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Presentation on theme: "The Tangent Line The Secant Line. The Tangent Line The Secant Line."— Presentation transcript:

1 The Tangent Line The Secant Line

2 The Tangent Line The Secant Line

3 The Tangent Line The Secant Line

4 Use the Definiton of the Derivative to find f’(x) if

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9 Definiton of the Derivative Examples

10 f(x) is after minus sign, or better yet, set h=0

11 Definiton of the Derivative Examples f(x) is after minus sign, or better yet, set h=0

12 Definiton of the Derivative Examples f(x) is after minus sign, or better yet, set h=0

13 Definiton of the Derivative Examples f(x) is after minus sign, or better yet, set h=0

14 1 1 1 1 1 1 1 11 11 11 11 2 3 3 4 64 You finish the rest! 5 10 5 61520156 72135 217 Row 0 Row 1 Row 2 Row 3

15  Expand: F.O.I.L. 1 3 3 1 Where do you see this in Pascal’s Triangle? Combine Like Terms ROW 3 Pencils Down

16  Use Pascal’s Triangle to expand: 4 th Row 1 4 6 4 1 + + + +

17  Your Turn: 6 th Row 1 + + + + 6 15 20 15 + 6 + 1

18 Use the Definiton of the Derivative to find f’(x) if

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22 Prove that if

23 Power Rule I…

24 Derive the derivative if

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26 Evaluate the Difference Quotient if

27 Power Rule I…

28 Power Rule II…

29 Derive the derivative of the function:

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39 Power Rule I…

40 Power Rule II…

41 Logs and Exponentials…

42 Trigonometry…

43 Derive the Sum Rule for Derivatives:

44 Derive the constant rule for derivatives:

45 Definitions, Rules & Theorems

46 Derive the derivative of the function:

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50 Product Rule Ex 1) Find f’(x)

51 Product Rule Ex 2) Find f’(x)

52 Product Rule Ex 3) Find f’(x)

53 Product Rule Ex 4) Find f’(x)

54 Product Rule Ex 5) Find f’(x)

55 Product Rule Ex 6) Find f’(x)

56 Derive the derivative of the function:

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61 Ex 1) Find f’(x) Quotient Rule

62 Ex 2) Find f’(x) Quotient Rule

63 Ex 3) Find f’(x) Quotient Rule

64 Ex 4) Find f’(x) Quotient Rule

65 Ex 5) Find f’(x) Quotient Rule

66 Ex 5) continued Quotient Rule

67 Ex 6) Find f’(x) Quotient Rule

68 Ex 6) continued Quotient Rule

69 Ex 7) Find f’(x) Quotient Rule

70 Ex 7) continued Quotient Rule

71 Ex 8) Find f’(x) Quotient Rule

72 Ex 8) continued Quotient Rule

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