设函数y=f（x），由方程xy-sin（x+y）=0，确定dy/dx

Question

如题所述

Answer 1

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)]

Answer 2

（cos（x+y）-y）\(x-cos(x+y))本回答被提问者采纳

Answer 3

【cos(x+y)-y】/【x-cos(x+y)】