Test for relative maximum and minimum.
A)relative minimum at
B)saddle point at
C)saddle point at
D)relative minimum at
E)saddle point at

Question

Test for relative maximum and minimum. ​  ​
A)relative minimum at 
B)saddle point at 
C)saddle point at 
D)relative minimum at 
E)saddle point at

Quizplus · Accepted Answer

A relative minimum occurs at a point where the function reaches the lowest value in a small neighborhood of that point. In this case, point 11eb0d3b_98b9_b147_9790_d717045cdb8c_TB1243_11 is lower than its neighboring points, indicating a relative minimum. The other points either have neighboring points with lower values (indicating they are not relative maximums) or have both higher and lower values nearby (indicating a saddle point).

Test for Relative Maximum and Minimum