求多元函数极值 f(x,y)=sinx+cosy+cos(x-y),0≤x,y≤π⼀2

2025-06-29 01:10:15
推荐回答(1个)
回答1:

极值就是求导fx=cosx-sin(x-y)=0
fy=-siny+sin(x-y)=0
x+y=pi/2
f(x,y)=1+0+0=1极小值这是
f(x,y)