'apathetically' originates from Greek, specifically the word 'apatheia,' where 'a-' meant 'without' and 'pathos' meant 'emotion.' 'Produced' comes from Latin, specifically the word 'producere,' where 'pro-' meant 'forward' and 'ducere' meant 'to lead.'

'apatheia' transformed into the English word 'apathy,' and eventually became 'apathetically' in modern English. 'Producere' transformed into the French word 'produire,' and eventually became the modern English word 'produce.'

Initially, 'apatheia' meant 'without emotion,' but over time it evolved into its current meaning of 'lack of interest or concern.' 'Producere' initially meant 'to lead forward,' but now means 'to create or generate.'