2.3 中值定理 导数的应用 Flashcards

1
Q

2.3 中值定理 导数的应用

A

140

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2
Q

2.3.1 中值定理

A

140

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3
Q

2.3.1-费马定理

A

140

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4
Q

2.3.1-罗尔定理

A

141

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5
Q

2.3.1-拉格朗日中值定理

A

143

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6
Q

2.3.1-拉格朗日中值定理-推论1

A

144

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7
Q

2.3.1-例3

A

144

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8
Q

2.3.1-柯西中值定理

A

145

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9
Q

2.3.2 洛必达法则

A

145

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10
Q

2.3.2-不定式

A

145

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11
Q

2.3.2.1 0/0型不定式

A

146

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12
Q

2.3.2-洛必达法则I

A

146

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13
Q

2.3.2-例1

A

147

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14
Q

2.3.2-例2

A

147

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15
Q

2.3.2.2 ∞/∞型不定式

A

148

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16
Q

2.3.2-洛必达法则II

A

148

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17
Q

2.3.2-例3

A

148

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18
Q

2.3.2-例4

A

148

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19
Q

2.3.2.3 其他型不定式

A

149

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20
Q

2.3.2-例5

A

149

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21
Q

2.3.2-例6

A

149

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22
Q

2.3.2-例7

A

150

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23
Q

2.3.3 泰勒公式

A

150

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24
Q

2.3.3-例1

A

153

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25
Q

2.3.3-例2

A

154

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26
Q

2.3.3-例3

A

154

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27
Q

2.3.3-例4

A

155

28
Q

2.3.3-例5

A

155

29
Q

2.3.4 导数的应用

A

156

30
Q

2.3.4.1 函数的增减性

A

156

31
Q

2.3.4-定理1

A

156

32
Q

2.3.4-定理2

A

157

33
Q

2.3.4-例1

A

157

34
Q

2.3.4-例2

A

157

35
Q

2.3.4.2 曲线的凹凸性

A

158

36
Q

2.3.4-例3

A

160

37
Q

2.3.4-例4

A

161

38
Q

2.3.4-例5

A

161

39
Q

2.3.4.3 极值

A

162

40
Q

2.3.4-第一判别法

A

163

41
Q

2.3.4-第二判别法

A

164

42
Q

2.3.4-例6

A

166

43
Q

2.3.4-例7

A

167

44
Q

2.3.4-例8

A

167

45
Q

2.3.4-例9

A

168

46
Q

2.3.4.4 最大值和最小值

A

169

47
Q

2.3.4-例10

A

170

48
Q

2.3.4-例11

A

170

49
Q

2.3.4-例12

A

171

50
Q

2.3.4-例13

A

172

51
Q

2.3.4.5 渐近线

A

172

52
Q

2.3.4-例14

A

174

53
Q

2.3.4.6 函数作图举例

A

175

54
Q

2.3.4-例15

A

175

55
Q

2.3.4-例16

A

176

56
Q

2.3.4.7 曲线的曲率

A

178

57
Q

2.3.4-例17

A

181

58
Q

2.3.4-例18

A

181

59
Q

2.3.4-例19

A

182

60
Q

2.3.4-例20

A

182

61
Q

2.3.4.8 导数在电路计算中的应用

A

183

62
Q

2.3.4-例22

A

184

63
Q

2.3.4.9 方程的近似解

A

184

64
Q

2.3.4-例23

A

186

65
Q

2.3.4-例24

A

187