'coarsely' originates from Middle English, specifically the word 'cors,' where 'cors' meant 'rough or crude.' 'Produced' comes from Latin, specifically the word 'producere,' where 'pro-' meant 'forward' and 'ducere' meant 'to lead.'

'coarsely' changed from the Middle English word 'cors' and eventually became the modern English word 'coarse.' 'Produced' evolved from the Latin 'producere' through Old French 'produire' and Middle English 'produce.'

Initially, 'coarse' meant 'rough or crude,' and this meaning has largely remained the same in modern usage. 'Produced' originally meant 'to lead forward,' but now it refers to the act of making or creating something.