Difference between revisions of "Math 22 Extrema of Functions of Two Variables"

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==Relative Extrema of a Function of Two Variables==
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  Let <math>f</math> be a function defined on a region containing <math>(x_0,y_0)</math>. The function <math>f</math> has a relative maximum at <math>(x_0,y_0)</math> when there is a circular region  centered at <math>(x_0,y_0)</math> such that
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  <math>f(x,y)\le f(x_0,y_0)</math>
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  for all <math>(x,y)</math> in <math>R</math>.
  
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  The function <math>f</math> has a relative minimum at <math>(x_0,y_0)</math> when there is a circular region  centered at <math>(x_0,y_0)</math> such that
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  <math>f(x,y)\ge  f(x_0,y_0)</math>
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  for all <math>(x,y)</math> in <math>R</math>.
  
  

Revision as of 08:04, 18 August 2020

Relative Extrema of a Function of Two Variables

 Let  be a function defined on a region containing . The function  has a relative maximum at  when there is a circular region  centered at  such that
 
 
 
 for all  in .

 The function  has a relative minimum at  when there is a circular region  centered at  such that
 
 
 
 for all  in .



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This page were made by Tri Phan

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