'fire-derived' originates from English, specifically the words 'fire' and 'derived', where 'fire' ultimately comes from Old English 'fyr' meaning 'fire', and 'derived' ultimately comes from Latin 'derivare' meaning 'to draw off or lead away'.

'fire' developed from Old English 'fyr' into modern English 'fire'; 'derived' came into English via Middle French/Old French 'deriver' from Latin 'derivare', and the compound adjective 'fire-derived' is a modern English formation combining these two elements to mean 'derived from fire'.

Individually, 'fire' has long meant 'combustion, flame', while 'derive' originally meant 'to draw off or lead away' (Latin); combined in modern English the compound came to mean 'originating from or produced by fire', a relatively transparent, literal compound formation.