二元函数f(x,y)=x²+xy+y²-3x-6y的驻点解:令∂f/∂x=2x+y-3=0..........(1);∂f/∂y=2y+x-6=0..........(2)由(1)得y=3-2x,代入(2)得2(3-2x)+x-6=-3x=0,故得x=0,y=3,即该函数有唯一驻点(0,3).
df/dx=2x+y-3df/dy=x+2y-6令 它们双双为0,解出x=0, y=3