设函数y=f（x）,由方程xy-sin（x+y）=0,确定dy/dx

设函数y=f（x）,由方程xy-sin（x+y）=0,确定dy/dx
设函数y=f（x）,由方程xy-sin（x+y）=0,确定dy/dx

设函数y=f（x）,由方程xy-sin（x+y）=0,确定dy/dx
（cos（x+y）-y）\(x-cos(x+y))

xy-sin(x+y)=0
y+xy′-(1+y′)cos(x+y)=0
y+xy′-cos(x+y)-y′cos(x+y)=0
y′(x-cos(x+y))=cos(x+y)-y
y′=[cos(x+y)-y]/[x-cos(x+y)]

【cos(x+y)-y】/【x-cos(x+y)】