设函数y=f(x),由方程xy-sin(x+y)=0,确定dy/dx
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![设函数y=f(x),由方程xy-sin(x+y)=0,确定dy/dx](/uploads/image/z/2834113-49-3.jpg?t=%E8%AE%BE%E5%87%BD%E6%95%B0y%3Df%EF%BC%88x%EF%BC%89%2C%E7%94%B1%E6%96%B9%E7%A8%8Bxy-sin%EF%BC%88x%2By%EF%BC%89%3D0%2C%E7%A1%AE%E5%AE%9Ady%2Fdx)
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)】