The function is .
Apply derivative on each side with respect to x.
\
Find the critical numbers of , equate
to zero.
never equals zero. It ranges from 1 to
, and
to
.
The function does not have any critical numbers.
\So the end points are the maximum and minimum points of the function.
\Find the absolute extreme of function in the region using the graphing utility.
Left end point is the minimum point over the interval
.
Right end point is maximum point over the interval
.
Minimum point is .
Maximum point is .