The function is .
Apply derivative on each side with respect to x.
\
Find the critical numbers of , equate
to zero.
For n = 0.
\For n = 1.
\For n = 2.
\ are in the region
.
Critical points in the region is
\ ,
and
.
Find the absolute extreme of function in the region using the graphing utility.
Critical points and
are the maximum point over the interval
.
Critical point is minimum point over the interval
.
Minimum point is .
Maximum point are and
.