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

Multiple Choice

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

A) f(2, 0) = 2, saddle point; f(0, 2) = 2, saddle point
B) f(0, 0) = 2, local maximum; f(2, 2) = -254, local minimum
C) f(2, 2) = -254, local minimum
D) f(0, 0) = 2, local maximum