y=sin(x+y)用隐函数求导?

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y=sin(x+y)用隐函数求导?y=sin(x+y)用隐函数求导?y=sin(x+y)用隐函数求导?y=sin(x+y)等式两边同时对x求导,y''=cos(x+y)*(1+y'');所以y''=cos(

y=sin(x+y)用隐函数求导?
y=sin(x+y)用隐函数求导?

y=sin(x+y)用隐函数求导?
y=sin(x+y)等式两边同时对x求导,
y'=cos(x+y)*(1+y');所以y'=cos(x+y)/[1-cos(x+y)]
注意y是x的函数!

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