Question: Suppose (1, 1) is a critical point of a function f with continuous second derivatives. In each case, what can you say about f ?

Suppose (1, 1) is a critical point of a function f with continuous second derivatives. In each case, what can you say about f ?
(a) f_xx(1, 1) = 4, f_x y(1, 1) = 1, f_yy(1, 1) = 2

(b) f_xx(1, 1) = 4, f_x y(1, 1) = 3, f_yy(1, 1) = 2

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