隐函数求导X^3-y^3-x-y+xy=2

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隐函数求导X^3-y^3-x-y+xy=2隐函数求导X^3-y^3-x-y+xy=2隐函数求导X^3-y^3-x-y+xy=2两边分别对x求导:3x^2-(3y^2)*y''-1-y''+y+y''x=0(

隐函数求导X^3-y^3-x-y+xy=2
隐函数求导X^3-y^3-x-y+xy=2

隐函数求导X^3-y^3-x-y+xy=2
两边分别对x求导:
3x^2-(3y^2)*y'-1-y'+y+y'x=0
(3y^2+1-x)y'=3x^2-1+y
y'=(3x^2-1+y)/(3y^2+1-x)
这就是X^3-y^3-x-y+xy=2隐函数的导数

3x - 3y y' - 1 - y' + y + x y' = 0
(x-3y-1)y' + 3x + y - 1 = 0
y' = (1-3x-y) / (x-3y-1)