Here is the full list of all 8 Derpy Dino achievements.
The base game contains 3 achievements, and there is 1 DLC pack containing 5 achievements.
Oh no! Looks like your dinosaur species became extinct
Survive 1 minute
This dinosaur isn't becoming extinct soon!
Complete the first level
Complete the first world
Survive 10 minutes with a friend in endless mode
Beat a level with a friend
Eat 100 fruits