隐函数求导,将y看成x的函数,将等式两边分别对x求导,3(y^2)y'+3(x^2)-3y-3xy'=0,提公因子,y'=(3y-3(x^2))/(3y^2-3x),化简得: y'=(y-x^2)/(y^2-x)
由方程 xy-ex+ey=0,两边对x求导,得(y+xy′)-ex+y′ey=0又当x=0时,y=0∴将x=0,y=0代入,得y′(0)=1