求导数,已给答案,求过程y²＋xy+x²-x=0求导结果是y'=-(y+2x-1)/(2y+x)

求导数,已给答案,求过程y²＋xy+x²-x=0求导结果是y'=-(y+2x-1)/(2y+x)
求导数,已给答案,求过程
y²＋xy+x²-x=0求导结果是y'=-(y+2x-1)/(2y+x)

求导数,已给答案,求过程y²＋xy+x²-x=0求导结果是y'=-(y+2x-1)/(2y+x)
y²＋xy+x²-x=0
2yy`+y+xy`+2x-1=0
(2y+x)y`=1-2x-y
y`=-(y+2x-1)/(2y+x)