- His first appearance was in the Barney and the Backyard gang video "Waiting For Santa" (1990).
- His first appearance in the TV series was "My family's just right for me" (1992).
- He is on the T-ball team.
- He reveals that his grandpa's last name is Richards in the Season 2 episode Grandparents are Grand! (1993).
- He has a pet goldfish named Angel.
- He is interested in space.
- In "Barney's Magical Musical Adventure", Derek had a pretend horse named Thunderbolt.