Let
- Find all points such that
;
- Determine the intervals on which
is monotonic by examining the sign of
;
- Determine the intervals on which
is monotonic by examining the sign of
;
- Sketch the graph of
.
- We take the derivative,
Thus,
-
is increasing if
or
and is decreasing if
or
.
- Taking the second derivative,
Thus,
is increasing for
or
and is decreasing if
.
- We sketch the curve,