Generic derivations, differential largeness, and NTP${}_2$

We compare Fornasiero and Terzo’s framework of generic derivations on algebraically bounded structures with León Sánchez and Tressl’s differentially large fields. We show in the case of a single derivation that genericity and differential largeness coincide for éz-fields, as introduced by Walsberg and Ye. We also show that an NTP${}_2$ algebraically bounded structure remains NTP${}_2$ after expanding by a generic derivation.