求函数f(x,y)=(6x-x2)(4y-y2)的极值.
问题描述:
求函数f(x,y)=(6x-x2)(4y-y2)的极值.
答
f(x,y)=(6x-x2)(4y-y2)
=(-(x-3)∧2+9)(-(y-2)∧2+4)
x=3,y=2
f(x,y)min=36