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