Provide an Appropriate Response $f ( x , y )$ Given That

Multiple Choice

Provide an appropriate response.
-Find any local extrema (maxima, minima, or saddle points) of $f ( x , y )$ given that $f _ { X } = 49 x ^ { 2 } - 49$ and $f _ { y } = 3 y + 6$

A) Local maximum at (1, -2) ; saddle point at (-1, -2)
B) Local minimum at (-1, -2) ; saddle point at (1, -2)
C) Local minimum at (1, -2) ; saddle point at (-1, -2)
D) Local maximum at (-1, -2) ; saddle point at (1, -2)