[Calculus] CH2 Limits and Derivatives

AP Calculus Notes Written by : William Jung

CH2

Limits and Derivatives

Student No. ____________ Name ____________

CH 2 LIMITS AND DERIVATIVES 2.1 2.2 2.3 2.5 2.6 2.7 2.8

The Tangent and Velocity Problems The Limit of a Function Calculating Limits Using Limit Laws Continuity

Limits at Infinity

Derivative and Rates of Change The Derivative as a Function

2 5 12 21 30 41 51

2.1

THE TANGENT AND VELOCITY PROBLEMS

2

SECTION 2.1

THE TANGENT AND VELOCITY PROBLEMS

SECTION 2.1

THE TANGENT AND VELOCITY PROBLEMS

3

2.2

THE LIMIT OF A FUNCTION

SECTION 2.2

THE LIMIT OF A FUNCTION

5

6

SECTION 2.2

THE LIMIT OF A FUNCTION

SECTION 2.2

THE LIMIT OF A FUNCTION

7

8

SECTION 2.2

THE LIMIT OF A FUNCTION

SECTION 2.2

THE LIMIT OF A FUNCTION

9

10

SECTION 2.2

THE LIMIT OF A FUNCTION

2.3

CALCULATING LIMITS USING LIMIT LAWS

12

SECTION 2.3

CALCULATING LIMITS USING THE LIMIT LAWS

SECTION 2.3

CALCULATING LIMITS USING THE LIMIT LAWS

13

14

SECTION 2.3

CALCULATING LIMITS USING THE LIMIT LAWS

SECTION 2.3

CALCULATING LIMITS USING THE LIMIT LAWS

15

16

SECTION 2.3

CALCULATING LIMITS USING THE LIMIT LAWS

SECTION 2.3

CALCULATING LIMITS USING THE LIMIT LAWS

17

18

SECTION 2.3

CALCULATING LIMITS USING THE LIMIT LAWS

SECTION 2.3

CALCULATING LIMITS USING THE LIMIT LAWS

19

2.5

CONTINUITY

SECTION 2.5

CONTINUITY

21

22

SECTION 2.5

CONTINUITY

SECTION 2.5

CONTINUITY

23

24

SECTION 2.5

CONTINUITY

SECTION 2.5

CONTINUITY

25

26

SECTION 2.5

CONTINUITY

SECTION 2.5

CONTINUITY

27

28

SECTION 2.5

CONTINUITY

2.6

LIMITS AT INFINITY

30

SECTION 2.6

LIMITS AT INFINITY

SECTION 2.6

LIMITS AT INFINITY

31

32

SECTION 2.6

LIMITS AT INFINITY

SECTION 2.6

LIMITS AT INFINITY

33

34

SECTION 2.6

LIMITS AT INFINITY

SECTION 2.6

LIMITS AT INFINITY

35

36

SECTION 2.6

LIMITS AT INFINITY

SECTION 2.6

LIMITS AT INFINITY

37

38

SECTION 2.6

LIMITS AT INFINITY

SECTION 2.6

LIMITS AT INFINITY

39

2.7

DERIVATIVES AND RATES OF CHANGEº

SECTION 2.7

DERIVATIVES AND RATES OF CHANGE

41

42

SECTION 2.7

DERIVATIVES AND RATES OF CHANGE

SECTION 2.7

DERIVATIVES AND RATES OF CHANGE

43

44

SECTION 2.7

DERIVATIVES AND RATES OF CHANGE

SECTION 2.7

DERIVATIVES AND RATES OF CHANGE

45

46

SECTION 2.7

DERIVATIVES AND RATES OF CHANGE

SECTION 2.7

DERIVATIVES AND RATES OF CHANGE

47

48

SECTION 2.7

DERIVATIVES AND RATES OF CHANGE

SECTION 2.7

DERIVATIVES AND RATES OF CHANGE

49

2.8

THE DERIVATIVE AS A FUNCTION

SECTION 2.8

THE DERIVATIVE AS A FUNCTION

51

52

SECTION 2.8

THE DERIVATIVE AS A FUNCTION

SECTION 2.8

THE DERIVATIVE AS A FUNCTION

53

54

SECTION 2.8

THE DERIVATIVE AS A FUNCTION