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,

- Since when and when we have is decreasing if and is increasing if .
- Taking the second derivative,
Since this is positive for all , this means is increasing for all .

- We sketch the curve,