2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79013We prove a formula for the nth power of the q-derivative operator at x=0 for every function whose nth derivative at x=0 exists. We give a proof in both the real variable and the complex variable case.7 pagesClassical Analysis and ODEs39A05 (Primary) 26A24 (Secondary)A note on the q-derivative operatortext