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

Suppose (1,1) is a critical point of a function f with continuous second derivatives. In each case, what can you say about r?(a)[xx(1,1)=9,[xy (1,1)=3, fy (1,1)=2 The critical point (1,1) is a local minimum. The critical point (1,1) is a local maximum. The critical point (1,1) is a saddle point. Nothing can be determined about the critical point (1,1).(b)[xx (1,1)=9,[xy (1,1)=5, fyy (1,1)=2 The critical point (1,1) is a local minimum. The critical point (1,1) is a local maximum. The critical point (1,1) is a saddle point. Nothing can be determined about the critical point (1,1).

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!