1 / 15

數學軟體應用

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);.

alena
Download Presentation

數學軟體應用

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 數學軟體應用

  2. Functions of Three Variables Directional Derivatives and the Gradient Vector

  3. Tangent Planes to Level Surfaces

  4. Maximum and Minimum Values 圖

  5. 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

  6. Second Derivatives Test 圖

  7. Extreme Value Theorem for Functions of Two Variable 圖

  8. Lagrange Multiplies

  9. Method of Lagrange Multipliers

  10. Two Constrains

  11. 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

  12. 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

More Related