step 1:
\ The function is
.
Apply first derivative with respect to
.



To find the relative extrema, by equating
.

Apply zero product property
\
and
and 
Hence, the critical values of
are
and
.
substitute
in
.


Hence, 
The point is
.
Substitute
in
.


Hence,
.
The point is
.
The relative extrema points are
and
.
Using second derivative test, determine the relative extrema.
\Apply second derivative with respect to
.

.
| Point | \![]() | \
![]() | \
Sign of ![]() | \
\
| \
\
| \
| Conclusion | \Relative maximum | \Relative minimum | \
\
The relative maximum at
.
The relative minimum at
.
Solution:
\The relative maximum at
.
The relative minimum at
.