Difference between revisions of "Math 22 Lagrange Multipliers"
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| − | + | ==Method of Lagrange Multipliers== | |
| − | + | If <math>f(x,y)</math> has a maximum or minimum subject to the constraint <math>g(x,y)=0</math>, then it will occur at one of the critical numbers of the function defined by | |
| + | <math>F(x,y,\lambda)=f(x,y)-\lambda g(x,y)</math> | ||
Revision as of 08:38, 18 August 2020
Method of Lagrange Multipliers
If Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle f(x,y)}
has a maximum or minimum subject to the constraint Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle g(x,y)=0}
, then it will occur at one of the critical numbers of the function defined by
Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle F(x,y,\lambda )=f(x,y)-\lambda g(x,y)}
This page were made by Tri Phan