3x^2-x^2y+y^2=-3,求dy/dx
问题描述:
3x^2-x^2y+y^2=-3,求dy/dx
答
F(x,y)=3x^2-x^2y+y^2+3=0
dy/dx=-Fx/Fy
=-(6x-2xy)/(-x^2+2y)=(6x-2xy)/(x^2-2y)