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

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