Differentiation   Refresher

First Principles reminder

1 2

 

General rules

37

Examples

 

36 35

38

Examples

39 40 41 42

 

1 32

 

Sum Rule

12

 

Examples

33 34 43

44

 

45 46

47

 

Examples

 

48

49 50

51

53

52 54

 

 

 

The Chain rule

 

57

or in Leibnitz notation

58

 

Example

59 60

Longer questions use a continuation

61

 

Example

62

 

 

Product Rule  (Advanced Higher)

 

63

 

Examples

64

65

Don’t forget the chain rule!

66

 

Quotient Rule (Advanced Higher)

 

57

 

Example

69

 

Trig functions

70

Examples

71 72 73

 

  74

Examples

76 77 78


75

Example

79

 

80

Example

82

 

81

Example

83

84

Example

85

 

Logarithms and Exponentials

86

Examples

87 88

 

89

Examples

90

91

92

93

Differentiate ax

3

4

5

 

6

 

 

© Alexander Forrest