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Functions of Several Variables

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Presentation on theme: "Functions of Several Variables"— Presentation transcript:

1

2 Functions of Several Variables
Chapter 12 Functions of Several Variables Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

3 12.1 Planes and Surfaces Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

4 Copyright © 2011 Pearson Education, Inc
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5 Copyright © 2011 Pearson Education, Inc
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26 Copyright © 2011 Pearson Education, Inc
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27 Copyright © 2011 Pearson Education, Inc
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28 Graphs and Level Curves
12.2 Graphs and Level Curves Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

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30 Copyright © 2011 Pearson Education, Inc
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31 Copyright © 2011 Pearson Education, Inc
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40 Copyright © 2011 Pearson Education, Inc
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41 Copyright © 2011 Pearson Education, Inc
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42 Copyright © 2011 Pearson Education, Inc
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43 Copyright © 2011 Pearson Education, Inc
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44 Copyright © 2011 Pearson Education, Inc
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45 Copyright © 2011 Pearson Education, Inc
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46 Copyright © 2011 Pearson Education, Inc
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47 Copyright © 2011 Pearson Education, Inc
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48 Copyright © 2011 Pearson Education, Inc
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50 Copyright © 2011 Pearson Education, Inc
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51 Copyright © 2011 Pearson Education, Inc
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52 Copyright © 2011 Pearson Education, Inc
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53 12.3 Limits and Continuity Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

54 Copyright © 2011 Pearson Education, Inc
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55 Copyright © 2011 Pearson Education, Inc
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56 Copyright © 2011 Pearson Education, Inc
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57 Copyright © 2011 Pearson Education, Inc
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58 Copyright © 2011 Pearson Education, Inc
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59 Copyright © 2011 Pearson Education, Inc
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60 Copyright © 2011 Pearson Education, Inc
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61 Copyright © 2011 Pearson Education, Inc
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62 Copyright © 2011 Pearson Education, Inc
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63 Copyright © 2011 Pearson Education, Inc
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64 Copyright © 2011 Pearson Education, Inc
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70 Copyright © 2011 Pearson Education, Inc
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71 Copyright © 2011 Pearson Education, Inc
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72 12.4 Partial Derivatives Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

73 Copyright © 2011 Pearson Education, Inc
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74 Copyright © 2011 Pearson Education, Inc
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83 Copyright © 2011 Pearson Education, Inc
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84 12.5 The Chain Rule Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

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91 Copyright © 2011 Pearson Education, Inc
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92 Copyright © 2011 Pearson Education, Inc
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93 Copyright © 2011 Pearson Education, Inc
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94 Copyright © 2011 Pearson Education, Inc
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95 Copyright © 2011 Pearson Education, Inc
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96 Copyright © 2011 Pearson Education, Inc
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97 Copyright © 2011 Pearson Education, Inc
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98 Directional Derivatives and the Gradient
12.6 Directional Derivatives and the Gradient Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

99 Copyright © 2011 Pearson Education, Inc
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113 Copyright © 2011 Pearson Education, Inc
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116 Copyright © 2011 Pearson Education, Inc
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117 Copyright © 2011 Pearson Education, Inc
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118 Tangent Planes and Linear Approximation
12.7 Tangent Planes and Linear Approximation Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

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128 Copyright © 2011 Pearson Education, Inc
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129 Copyright © 2011 Pearson Education, Inc
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130 Maximum Minimum Problems
12.8 Maximum Minimum Problems Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

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146 12.9 Lagrange Multipliers Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

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