Locate and classify all the critical points of the given function. (HINT [See Example 2.] Order your answers by their ordered pairs, from smallest to largest x, then from smallest to largest y. If an answer does not exist, enter DNE.) f(x, y) = x2 + 2xy2 + 8y2 (x, y) =                   (x, y) =                   (x, y) =

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Chapter1: Functions
Section1.2: Functions Given By Tables
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Locate and classify all the critical points of the given function. (HINT [See Example 2.] Order your answers by their ordered pairs, from smallest to largest x, then from smallest to largest y. If an answer does not exist, enter DNE.)
f(x, y) = x2 + 2xy2 + 8y2
(x, y)
=
 
 
 
 
    
     
(x, y)
=
 
 
 
 
    
     
(x, y)
=
 
 
 
 
    
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