Find X and Y Values of the Relative Extrema of the Function

question 79

Multiple Choice

Find x and y values of the relative extrema of the function. $f ( x , y ) = x ^ { 4 } + 8 x y ^ { 2 } + 2 y ^ { 4 }$

• A) \(( 0,0,0 )\)
• B) \(( 0 , - 2 , - 4 )\)
• C) \(( - 2 , - 2 , - 16 )\)
• D) \(( 2 , - 2 , - 16 )\)
• E) \(( - 2,2 , - 16 )\)

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