Given , on the interval , determine if the critical number represents a local maximum, local minimum or neither.
A) local maximum
B) local minimum
C) neither

Question

Given  , on the interval  , determine if the critical number  represents a local maximum, local minimum or neither.
A) local maximum 
B) local minimum 
C) neither

Quizplus · Accepted Answer

The critical number 11eaa88b_91fd_2c68_a696_5ffde7b020fc_TB5869_11 falls between the given interval, and it is directly adjacent to the critical number 11eaa88b_91fd_2c67_a696_8b159f6acd27_TB5869_11. By examining the sequence of numbers, it can be observed that the value of the critical number before and after it decreases. Therefore, the critical number represents a local maximum.

Given , on the Interval , Determine If