Find the relative maxima and relative minima, if any, of the function.
A) Relative maximum: , No relative minima
B) Relative minimum: , Relative maximum:
C) No relative maxima, Relative minimum:
D) No relative maxima or minima.

Question

Find the relative maxima and relative minima, if any, of the function. ​  ​
A) Relative maximum: , No relative minima 
B) Relative minimum: , Relative maximum: 
C) No relative maxima, Relative minimum: 
D) No relative maxima or minima.

Quizplus · Accepted Answer

The function has a relative minimum at the point 11eb651f_cb5a_8241_b0a1_e5d17b66b659_TB8255_11 and a relative maximum at the point 11eb651f_cb5a_8242_b0a1_85626455ac60_TB8255_11. This is determined by finding points on the function where the slope is zero, which indicates a possible extremum, and then using the second derivative test to confirm whether it is a relative maximum or minimum. The other choices either have no extremum or only one type of extremum.

Find the Relative Maxima and Relative Minima, If Any, of the Function