>
数学
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设函数y=y(x)由方程e
x+y
+cos(xy)=0确定,则
dy
dx
=______.
人气:416 ℃ 时间:2019-08-18 13:17:50
解答
在方程e
x+y
+cos(xy)=0左右两边同时对x求导,得:
e
x+y
(1+y′)-sin(xy)•(y+xy′)=0,
化简求得:
y′=
dy
dx
=
ysin(xy)−
e
x+y
e
x+y
−xsin(xy)
.
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