求设方程y=sin(x+y)确定了y是x的函数,求dy/dx

问题描述:

求设方程y=sin(x+y)确定了y是x的函数,求dy/dx

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