6.1 多元函数 Flashcards

1
Q
  1. 多元函数微分学
A

70

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2
Q

6.1 多元函数

A

70

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3
Q

6.1.1 二元函数的概念

A

70

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4
Q

6.1.2 二元函数的极限和连续

A

75

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5
Q

6.1.2.1 二元函数的极限

A

75

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6
Q

6.1.2-例1

A

76

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7
Q

6.1.2-例2

A

77

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8
Q

6.1.2-定理1

A

79

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9
Q

6.1.2.2 二元函数的连续性

A

80

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10
Q

6.1.2-例4

A

81

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11
Q

6.1.3 偏导数

A

82

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12
Q

6.1.3.1-偏导数的定义

A

82

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13
Q

6.1.3-例1

A

84

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14
Q

6.1.3-例2

A

84

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15
Q

6.1.3-例3

A

84

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16
Q

6.1.3.2 偏导数的几何意义

A

84

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17
Q

6.1.3.3 高阶偏导数

A

85

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18
Q

6.1.3-例4

A

86

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19
Q

6.1.3-例5

A

86

20
Q

6.1.3-定理

A

88

21
Q

6.1.4 全微分

A

89

22
Q

6.1.4.1 全微分的定义

A

89

23
Q

6.1.4-定理1

A

90

24
Q

6.1.4-定理2

A

90

25
Q

6.1.4-函数可微的充分条件

A

91

26
Q

6.1.4-例1

A

92

27
Q

6.1.4-例2

A

92

28
Q

6.1.4.2 全微分在近似计算中的应用

A

92

29
Q

6.1.4-例3

A

93

30
Q

6.1.4-例4

A

93

31
Q

6.1.5-例5

A

94

32
Q

6.1.5 复合函数的微分法

A

95

33
Q

6.1.5-定理1

A

95

34
Q

6.1.5-例1

A

96

35
Q

6.1.5-例2

A

96

36
Q

6.1.5-例3

A

97

37
Q

6.1.5-例4

A

98

38
Q

6.1.5-例5

A

98

39
Q

6.1.5-例6

A

100

40
Q

6.1.6 隐函数的微分法

A

100

41
Q

6.1.6.1 隐函数存在定理

A

101

42
Q

6.1.6.2 隐函数微分法

A

103

43
Q

6.1.6-例1

A

104

44
Q

6.1.6-例2

A

105

45
Q

6.1.6-例3

A

106