'human-derived' is a modern English compound formed from 'human' + 'derived'; 'human' ultimately comes from Latin 'hūmānus' meaning 'of man' (related to 'hūmus' meaning 'earth'), and 'derived' comes from the verb 'derive', from Latin 'dērivāre' meaning 'to draw off (water) from a stream' (dē- 'from' + rīvus 'stream').

'human' entered English via Old French 'humain' and Middle English as 'human'; 'derive' came into English from Middle French/Latin influences (Latin 'dērivāre' → Old/Middle French 'deriver'/'dériver' → English 'derive'), and the compound 'human-derived' is a modern technical formation in English combining these elements.

Individually, 'human' originally meant 'of or belonging to man' and has retained that sense, while 'derive' shifted from a literal meaning of 'draw off from a stream' to the broader sense 'obtain from a source'; the compound 'human-derived' now specifically denotes 'originating from humans' in biological/technical usage and more generally 'caused by humans' in environmental contexts.