Section 14.7: Max Min Problems

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) \(f_{xx}(1, 1) = 4\), \(f_{xy}(1, 1) = 1\), \(f_{yy}(1, 1) = 2\) (b) \(f_{xx}(1, 1) = 4\), \(f_{xy}(1, 1) = 3\), \(f_{yy}(1, 1) = 2\)