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

question 350

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)

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