Section 14.7: Max Min Problems

Suppose (0, 2) is a critical point of a function g with continuous second derivatives. In each case, what can you say about g? (a) \(g_{xx}(0, 2) = -1\), \(g_{xy}(0, 2) = 6\), \(g_{yy}(0, 2) = 1\) (b) \(g_{xx}(0, 2) = -1\), \(g_{xy}(0, 2) = 2\), \(g_{yy}(0, 2) = -8\) (c) \(g_{xx}(0, 2) = 4\), \(g_{xy}(0, 2) = 6\), \(g_{yy}(0, 2) = 9\)