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 for all
since
for all
.
- Taking the second derivative,
Thus,
is increasing if
and is decreasing if
.
- We sketch the curve,