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 for and decreasing for .
- We sketch the curve,
You get a better understanding of this function if you increase the domain to e.g. (-20,20).