  We show that if the universe is self-iterable and $\kappa$ is an inaccessible
limit of Woodin cardinal then $AD_R + "\Theta$ is regular" holds in the derived
model at $\kappa$. The proof is fine-structure free, and only assumes basic
knowledge of iteration trees and iteration strategies. Our proof can be viewed
as the fine-structure free version of the well-known fact that $AD_R + "\Theta$
is regular" is true in the derived models of hod mice that have inaccessible
limit of Woodin cardinals (see for example [6]). However, the proof uses a
different set of ideas and is more general.
