  This paper is devoted to the study of local and 2-local derivations of
nullfiliform, filiform and naturally graded quasi-filiform associative
algebras. We prove that these algebras as a rule admit local derivations which
are not derivations. We show that filiform and naturally graded quasi-filiform
associative algebras admit 2-local derivations which are not derivations and
any 2-local derivation of null-filiform associative algebras is a derivation.
