cosxy=x的导数和y=cos(x+y)的导数怎么求,详细过程,谢谢!

2025-01-24 11:32:22
推荐回答(1个)
回答1:

cosxy=x
-sinxy*(y+xy')=1
y+xy'=-cscxy
y'=-(cscxy+y)/x.

y=cos(x+y)
y'=-sin(x+y)*(1+y')
y'[1+sin(x+y)]=-sin(x+y)
y'=-sin(x+y)/[1+sin(x+y)].