'amide-derived' is a modern English compound combining 'amide' and 'derived'. 'Amide' entered scientific vocabulary in the 19th century from German/French chemical usage (from German 'Amid' / French 'amide'), ultimately related to 'ammonia' (Neo-Latin). 'Derived' comes from Latin 'derivare' (from 'de-' meaning 'from' and 'rivus' meaning 'stream').

'amide' appeared in Neo-Latin and German chemical nomenclature (e.g. German 'Amid') in the 1800s and became English 'amide' in modern scientific usage; 'derived' passed from Latin 'derivare' into Old French and Middle English ('deriven') and evolved into the modern English 'derive/derived'.

Originally, 'amide' named a specific chemical group discovered in the 19th century; 'derived' originally meant 'to lead off or draw from (a stream)' and later generalized to mean 'originating from' or 'produced from' — combined, 'amide-derived' now means 'originating from or produced from an amide'.