设函数y=y(x)由方程y=sinx-sin(x+y)=0所确定,求dy⼀dx

2025-12-18 03:46:24
推荐回答(1个)
回答1:

两边求微分:
d[sinx-sin(x+y)]=d0
Cosx*dx-Cos(x+y)*d(x+y)=0
[Cosx-Cos(x+y)]dx=Cos(x+y)*dy
dy/dx=[Cosx-Cos(x+y)]/Cos(x+y)