用隐求导法求 xy^2 - yx^2 = 3xy 求dy/dx

问题描述:

用隐求导法求 xy^2 - yx^2 = 3xy 求dy/dx

两边对x求导
y^2+2xydy/dx-x^2dy/dx-2xy=3y+3xdy/dx
(2xy-x^2-3x)dy/dx=3y-y^2+2xy
dy/dx=(3y-y^2+2xy)/(2xy-x^2-3x)