怎么求导y^2+3y=x^3
问题描述：
怎么求导y^2+3y=x^3
y是函数,x是自变量,请不要变化提出y,请直接对函数左右同时求导
答
y^2+3y=x^3y^2+3y+9/4=x^3+9/4(y+3/2)^2=x^3+9/4y+3/2=±√(x^3+9/4)y=-3/2±√(x^3+9/4) y^2+3y=x^3两边求导得2yy'+3y'=3x^2y'(2y+3)=3x^2y'=3x^2/(2y+3) =3x^2/(-3±2√(x^3+9/4) +3) =±3x^2/2√(x^3+9/4)...