2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156607In this paper we determine the number of the meaningful compositions of higher order of the differential operations and Gateaux directional derivative.Available online at: http://www.cs.uwaterloo.ca/journals/JIS/vol10.htmlCombinatorics05C30, 26B12, 49J50text