6.2 偏导数的应用

Question 1

6.2 偏导数的应用

Answer 1

111

Question 2

6.2.1 几何应用

Answer 2

111

Question 3

6.2.1.1 空间曲线的切线与法平面

Answer 3

111

Question 4

6.2.1-例1

Answer 4

112

Question 5

6.2.1.2 曲面的切平面与法线

Answer 5

114

Question 6

6.2.1-例2

Answer 6

116

Question 7

6.2.1-例3

Answer 7

116

Question 8

6.2.2 方向导数 梯度

Answer 8

117

Question 9

6.2.2.1 方向导数

Answer 9

117

Question 10

6.2.2-定理

Answer 10

118

Question 11

6.2.2-例2

Answer 11

120

Question 12

6.2.2.2-数量场的等量面和梯度

Answer 12

120

Question 13

6.2.2-例3

Answer 13

123

Question 14

6.2.2-例4

Answer 14

123

Question 15

6.2.2-例5

Answer 15

124

Question 16

6.2.3 二元函数的泰勒展式

Answer 16

124

Question 17

6.2.3-例

Answer 17

126

Question 18

6.2.4 二元函数的极值

Answer 18

127

Question 19

6.2.4.1 利用偏导数求二元函数的极值

Answer 19

127

Question 20

6.2.4-极值存在的充分条件

Answer 20

128

Question 21

6.2.4-例1

Answer 21

132

Question 22

6.2.4-例2

Answer 22

132

Question 23

6.2.4-例3

Answer 23

133

Question 24

6.2.4.2 条件极值-拉格朗日乘数法

Answer 24

133

Question 25

6.2.4-例4

Answer 25

136

Question 26

6.2.4-例5

Answer 26

137

Question 27

6.2.4-例6

Answer 27

138