Download presentation
Presentation is loading. Please wait.
1
© 2010 Pearson Education, Inc. All rights reserved
2
Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Chapter 14 Partial Derivatives
3
Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 14.1 Functions of Several Variables
4
Slide 14 - 4 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
5
Slide 14 - 5 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
6
Slide 14 - 6 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
7
Slide 14 - 7 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
8
Slide 14 - 8 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
9
Slide 14 - 9 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
10
Slide 14 - 10 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
11
Slide 14 - 11 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
12
Slide 14 - 12 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
13
Slide 14 - 13 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
14
Slide 14 - 14 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
15
Slide 14 - 15 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
16
Slide 14 - 16 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
17
Slide 14 - 17 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
18
Slide 14 - 18 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
19
Slide 14 - 19 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
20
Slide 14 - 20 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
21
Slide 14 - 21 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
22
14.2 Limits and Continuity in Higher Dimensions
23
Slide 14 - 23 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
24
Slide 14 - 24 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
25
Slide 14 - 25 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
26
Slide 14 - 26 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
27
Slide 14 - 27 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
28
Slide 14 - 28 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
29
Slide 14 - 29 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
30
Slide 14 - 30 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
31
Slide 14 - 31 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
32
Slide 14 - 32 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
33
Slide 14 - 33 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
34
Slide 14 - 34 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
35
Slide 14 - 35 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
36
14.3 Partial Derivatives
37
Slide 14 - 37 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
38
Slide 14 - 38 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
39
Slide 14 - 39 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
40
Slide 14 - 40 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
41
Slide 14 - 41 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
42
Slide 14 - 42 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
43
Slide 14 - 43 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
44
Slide 14 - 44 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
45
Slide 14 - 45 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
46
Slide 14 - 46 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
47
Slide 14 - 47 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
48
Slide 14 - 48 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
49
Slide 14 - 49 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
50
Slide 14 - 50 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
51
Slide 14 - 51 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
52
Slide 14 - 52 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
53
Slide 14 - 53 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
54
14.4 The Chain Rule
55
Slide 14 - 55 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
56
Slide 14 - 56 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
57
Slide 14 - 57 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
58
Slide 14 - 58 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
59
Slide 14 - 59 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
60
Slide 14 - 60 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
61
Slide 14 - 61 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
62
Slide 14 - 62 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
63
Slide 14 - 63 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
64
Slide 14 - 64 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
65
Slide 14 - 65 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
66
Slide 14 - 66 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
67
Slide 14 - 67 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
68
Slide 14 - 68 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
69
Slide 14 - 69 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
70
Slide 14 - 70 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
71
Slide 14 - 71 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
72
14.5 Directional Derivatives and Gradient Vectors
73
Slide 14 - 73 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
74
Slide 14 - 74 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
75
Slide 14 - 75 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
76
Slide 14 - 76 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
77
Slide 14 - 77 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
78
Slide 14 - 78 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
79
Slide 14 - 79 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
80
Slide 14 - 80 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
81
Slide 14 - 81 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
82
Slide 14 - 82 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
83
Slide 14 - 83 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
84
Slide 14 - 84 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
85
Slide 14 - 85 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
86
Slide 14 - 86 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
87
Slide 14 - 87 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
88
14.6 Tangent Planes and Differentials
89
Slide 14 - 89 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
90
Slide 14 - 90 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
91
Slide 14 - 91 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
92
Slide 14 - 92 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
93
Slide 14 - 93 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
94
Slide 14 - 94 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
95
Slide 14 - 95 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
96
Slide 14 - 96 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
97
Slide 14 - 97 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
98
Slide 14 - 98 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
99
Slide 14 - 99 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
100
Slide 14 - 100 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
101
Slide 14 - 101 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
102
Slide 14 - 102 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
103
Slide 14 - 103 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
104
14.7 Extreme Values and Saddle Points
105
Slide 14 - 105 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
106
Slide 14 - 106 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
107
Slide 14 - 107 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
108
Slide 14 - 108 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
109
Slide 14 - 109 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
110
Slide 14 - 110 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
111
Slide 14 - 111 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
112
Slide 14 - 112 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
113
Slide 14 - 113 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
114
Slide 14 - 114 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
115
Slide 14 - 115 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
116
Slide 14 - 116 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
117
Slide 14 - 117 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
118
Slide 14 - 118 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
119
Slide 14 - 119 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
120
Slide 14 - 120 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
121
Slide 14 - 121 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
122
Slide 14 - 122 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
123
Slide 14 - 123 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
124
14.8 Lagrange Multipliers
125
Slide 14 - 125 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
126
Slide 14 - 126 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
127
Slide 14 - 127 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
128
Slide 14 - 128 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
129
Slide 14 - 129 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
130
Slide 14 - 130 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
131
Slide 14 - 131 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
132
Slide 14 - 132 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
133
Slide 14 - 133 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
134
Slide 14 - 134 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
135
Slide 14 - 135 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
136
Slide 14 - 136 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
137
14.9 Taylor’s Formula for Two Variables
138
Slide 14 - 138 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
139
Slide 14 - 139 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
140
Slide 14 - 140 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
141
14.10 Partial Derivatives with Constrained Variables
142
Slide 14 - 142 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
143
Slide 14 - 143 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
144
Slide 14 - 144 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.