How do I properly install a rear derailleur on my bicycle?

To properly install a rear derailleur on your bicycle, follow these steps:

1. Begin by removing the old derailleur if necessary.
2. Attach the new derailleur to the derailleur hanger on the frame.
3. Connect the derailleur cable to the derailleur and adjust the tension.
4. Set the limit screws to ensure the derailleur moves smoothly between gears.
5. Test the shifting to make sure it is working properly.
6. Fine-tune the adjustments as needed for optimal performance.