Question

2. If fx (a, b) = 0 and fy (a, b) = 0, then
(a) fis locally extreme at (a, b)
(b) fis neither locally maximum nor locally minimum at (a, b)
(c) f has a saddle point at (a, b)
(d) f may or may not have a local extreme value at (a, b)
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Answer 1

Answer:

fis neither locally maximum nor locally minimum at (a, b)

Step-by-step explanation:

Answer 2

Answer:

f may or may not have a local extreme value at a,b