2.1 导数及其运算 Flashcards

1
Q
  1. 微分学
A

94

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2
Q

2.1 导数及其运算

A

94

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3
Q

2.1.1 导数的概念

A

94

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4
Q

2.1.1.1 变化率问题举例

A

94

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5
Q

2.1.1-例1

A

94

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6
Q

2.1.1-例2

A

95

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7
Q

2.1.1.2 导数概念

A

96

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8
Q

2.1.1-例3

A

98

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9
Q

2.1.1-例4

A

98

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10
Q

2.1.1.3 可导与连续的关系

A

99

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11
Q

2.1.2 导数的基本公式与运算法则

A

100

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12
Q

2.1.2.1 基本初等函数的导数

A

100

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13
Q

2.1.2-例1

A

101

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14
Q

2.1.2.2 导数的四则运算

A

103

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15
Q

2.1.2-定理1

A

103

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16
Q

2.1.2-例2

A

103

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17
Q

2.1.2-定理2

A

103

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18
Q

2.1.2-例3

A

104

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19
Q

2.1.2-例4

A

104

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20
Q

2.1.2-定理3

A

104

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21
Q

2.1.2-例5

A

105

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22
Q

2.1.2-例6

A

105

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23
Q

2.1.3 复合函数的导数

A

105

24
Q

2.1.3-定理

A

106

25
Q

2.1.3-例1

A

107

26
Q

2.1.3-例2

A

107

27
Q

2.1.3-例3

A

108

28
Q

2.1.3-例4

A

108

29
Q

2.1.3-例5

A

108

30
Q

2.1.4 反函数和隐函数的导数

A

109

31
Q

2.1.4-例1

A

109

32
Q

2.1.4-例2

A

110

33
Q

2.1.4-例3

A

111

34
Q

2.1.4-例4

A

111

35
Q

2.1.4-例5

A

111

36
Q

2.1.4-对数求导法

A

111

37
Q

2.1.4-例6

A

112

38
Q

2.1.4-例7

A

112

39
Q

2.1.4-例8

A

112

40
Q

2.1.4-例9

A

112

41
Q

2.1.5 高阶导数

A

114

42
Q

2.1.5-例1

A

115

43
Q

2.1.5-例2

A

115

44
Q

2.1.5-例3

A

115

45
Q

2.1.5-例4

A

116

46
Q

2.1.6 由参数方程所确定的函数的导数

A

117

47
Q

2.1.6.1 由参数方程所确定的函数的导数

A

117

48
Q

2.1.6-例1

A

118

49
Q

2.1.6-例2

A

118

50
Q

2.1.6-例3

A

119

51
Q

2.1.6.2 由极坐标方程所确定的函数的导数

A

120

52
Q

2.1.6-例4

A

122

53
Q

2.1.7 函数不可导情形

A

122

54
Q

2.1.7-例1

A

123

55
Q

2.1.7-例2

A

123

56
Q

2.1.4-定理

A

109