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