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There are four meanings listed in oed's entry for the word derogatory, two of which are labelled obsolete. He said the fight started because someone said something derogatory about his family. Derogatory synonyms, derogatory pronunciation, derogatory translation, english dictionary definition of derogatory.
Gov. Andrew Cuomo uses 'nword' to make point about derogatory terms
You seem to be more interested in making derogatory remarks than in discussing the facts. If you make a derogatory remark or comment about someone or something, you express your low opinion of them. Tending to lessen the merit or reputation of a person or thing;
If you make derogatory comments, that means you say things that are unflattering, unkind, or demeaning.
See ‘meaning & use’ for definitions, usage, and quotation evidence. Something that's derogatory is insulting or disrespectful. He refused to withdraw derogatory remarks made about his boss. Meaning, pronunciation, picture, example sentences, grammar, usage notes, synonyms and more.
Adjective derogatory (comparative more derogatory, superlative most derogatory) disparaging. See examples of derogatory used in a sentence. When derogatory first began to be used in english it had the meaning “detracting from the character or standing of something.” it comes from the verb derogate, which can be traced to the latin word. Definition of derogatory adjective in oxford advanced learner's dictionary.