1) Derive 2) Educe 3) Etymologise 1) Etymologise 
• (v. t.) To search into the origin of words; to deduce words from their simple roots. • (v. t.) To give the etymology of; to trace to the root or primitive, as a word.
Et`y·mol'o·gize (-jīz) transitive verb [ Confer French étymologiser .] To give the etymology of; to trace to the root or primitive, as a word. Camden Et`y·mol'o·gize transitive verb To search into the origin of words; to deduce words from their simple roots. « How perilous it is to etymologize at random.» Trench. 
[v] - give the etymology or derivation or suggest an etymology (for a word) 2. [v] - construct the history of words
etymologize To study, trace, or describe the origin and development of a word or to make a suggestion as to its possible origin and development.
etymologise verb construct the history of words