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 maximum or minimum occurs where the first derivative is zero and changes sign. The point 11ea984b_b01a_164c_9029_1dc651de0662_TB4005_11 is a critical point where the first derivative is zero and changes from negative to positive, indicating a relative minimum. Therefore, choice D is the correct answer.

Test for Relative Maximum and Minimum