At What Point Is the Following Function a Local Minimum $$f ( x , y ) = 8 x ^ { 2 } + 5 y ^ { 2 }$$

question 11

Multiple Choice

At what point is the following function a local minimum?
$$f ( x , y ) = 8 x ^ { 2 } + 5 y ^ { 2 }$$
Select the correct answer.

• A) \(( 5,0 )\)
• B) \(( 8 , - 5 )\)
• C) \(( 8,0 )\)
• D) \(( 8,5 )\)
• E) \(( 0,0 )\)

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