150 likes | 161 Views
數學軟體應用. Functions of Three Variables. Directional Derivatives and the Gradient Vector. Tangent Planes to Level Surfaces. Maximum and Minimum Values. 圖. Thm :. 用 matlab: 畫圖 x=linspace(-2,2,25); y=linspace(-2,2,25); [xx,yy]=meshgrid(x,y); zz=xx.^2+yy.^2; mesh(xx,yy,zz);.
E N D
Functions of Three Variables Directional Derivatives and the Gradient Vector
Thm : 用matlab:畫圖 x=linspace(-2,2,25); y=linspace(-2,2,25); [xx,yy]=meshgrid(x,y); zz=xx.^2+yy.^2; mesh(xx,yy,zz); F(x,y)=x^2+y^2 在(0,0)處有相對極小值
absolute maximum value local maximum value back 用matlab 畫個peaks圖 轉到平面 標上點 local minimum value absolute minimum value
用matlab 畫‘’鞍點‘’的圖 Z =y^2-x^2 f(x,y) =y^2-x^2 在(0,0)處有鞍點 back