The Point (0,0)is a Critical Point for the Function $f ( x , y ) = x ^ { 4 } + y ^ { 4 }$

Multiple Choice

The point (0,0) is a critical point for the function $f ( x , y ) = x ^ { 4 } + y ^ { 4 }$ .What kind of critical point is it?

A) local minimum
B) saddle point
C) local maximum
D) none of these