求函数f(x,y)=sinx+cosy+cos(x-y),0≤x,y≤π/2的极值
求函数f(x,y)=sinx+cosy+cos(x-y),0≤x,y≤π/2的极值
日期:2019-07-11 13:28:35 人气:1
解:
∂f/∂x=cosx-sin(x-y)
∂f/∂y=-siny+sin(x-y)
∂²f/∂x²=-sinx-cos(x-y)
∂²f/∂y²=-cosy-cos(x-y)
∂²f/∂x∂y=cos(x-y)
先求驻点:
∂f/∂x=∂f
求函数f(x,y)=sinx+cosy+cos(x-y),0≤x,y≤π/2的极值