'antigovernmentally' originates from the prefix 'anti-' (from Greek 'anti' meaning 'against') + the noun 'government' (from Old French 'governement') with the adverbial suffix '-ally' formed from adjective suffix '-al' + '-ly'.

'antigovernmentally' developed by adding the adverbial suffix '-ly' to the modern English adjective 'antigovernmental' (itself formed from 'anti-' + 'government'). The element 'government' entered English via Old French 'governement' from Latin 'gubernare' meaning 'to steer, to govern'.

The components originally meant 'against' (anti-) and 'to steer/govern' (gubernare → government). Over time they combined into the adjective 'antigovernmental' meaning 'opposed to the government', and then into the adverb 'antigovernmentally' meaning 'in a manner opposed to the government'.