Find All the Local Maxima, Local Minima, and Saddle Points $$f ( x , y ) = x ^ { 2 } + 14 x + y ^ { 2 } - 4 y + 3$$

question 361

Multiple Choice

Find all the local maxima, local minima, and saddle points of the function.
- $$f ( x , y ) = x ^ { 2 } + 14 x + y ^ { 2 } - 4 y + 3$$

• A) f(7, -2) = 162, local maximum
• B) f(-7, 2) = -50, local minimum
• C) f(-7, -2) = -34, saddle point
• D) f(7, 2) = 146, saddle point

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