x^3y+y^3-2x=0求导,
问题描述:
x^3y+y^3-2x=0求导,
答
3x^2y+x^3y'+3y^2y'-2=0 => (x^3+3y^2)y'=2-3x^2y
∴ y'=(2-3x^2y)/(x^3+3y^2)