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,