Question: (1 point) Consider the function f(x, y) = (x - 5)2 + (y + 9)2 +3. Compute the first partial derivatives of f(x, y). fx


(1 point) Consider the function f(x, y) = (x - 5)2 + (y + 9)2 +3. Compute the first partial derivatives of f(x, y). fx ( x, y ) = fy (x, y) = There is only one point (x, y) where fx (x, y) is zero or undefined and fy(x, y) is zero or undefined. What is it? Critical point is (enter your answer as an ordered pair, e.g., "(172.3, 5.7)") To test the critical point, we evaluate fxx fyy - (fxy) at the critical point. At the critical point you found, what is the value of fxx fyy - (fxy)?? At the critical point you found, is the value of fxx positive, negative, or zero? A. positive B. negative C. zero Based on your answer to the last 2 questions, is the critical point you found a local maximum, a local minimum, or a saddle point? A. local maximum O B. local minimum C. saddle point
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