Answer the question.If (a,b) is a critical point in the interior of the domain of f(x,y) and if  then f has a local minimum at (a,b) if(i) H > 0 and fxx(a,b) > 0.(ii) H > 0 and fxx(a,b) < 0.(iii) H < 0.

A. Only (i) is correct.
B. Only (ii) is correct.
C. (i), (ii), and (iii) are all incorrect.
D. Only (iii) is correct.


Answer: A

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