'non-fever-inducing' originates from Modern English, specifically formed by the prefix 'non-' (from Latin 'non' meaning 'not'), the noun 'fever' (from Old English 'fefor' ultimately from Latin 'febris'), and the verb 'induce' (from Latin 'inducere' where 'in-' meant 'in' and 'ducere' meant 'to lead').

'fever' developed from Old English 'fefor' via Latin 'febris', and 'induce' comes from Latin 'inducere' through Old French/Middle English forms; the compound 'non-fever-inducing' is a recent Modern English formation combining these elements with the negative prefix 'non-'.

Initially, the parts separately meant 'not' + 'fever' + 'to lead into'; combined in recent usage they specifically came to mean 'not causing a fever'.