Step 1:
\

Sum rule of derivatives :
.



Step 2:
\To find the critical numbers of
, equate
to zero.






for
.


for
.


not in the region.
Critical points in the given interval are
.
So the test intervals are
,
and 
Step 3:
\| Intervals | \Test Value | \sign of ![]() | \
conclusion | \
![]() | \
\
| \
![]() | \
increasing | \
![]() | \
\
| \
![]() | \
decreasing | \
![]() | \
\
| \
![]() | \
increasing | \
Extremes :
\If
on an open interval extending left from 


.


If
on an open interval extending left from
on an open interval extending right from

Solution :
\Maximum =
Minimum=

| Intervals | \Test Value | \sign of ![]() | \
conclusion | \
![]() | \
\
| \
![]() | \
increasing | \
![]() | \
\
| \
![]() | \
decreasing | \
![]() | \
\
| \
![]() | \
increasing | \
\
\
\
\
\
\
\
\
\
\
\
\
\
\
\
\
\
\