LATIN DICTIONARYLexicon Latīnum
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“derogate” in Latin

The English word derogate itself goes back to Latin procō, through dērogātus.

Riddle & Arnold A Copious and Critical English–Latin Lexicon, 1864

derogate
Disparage, etc., followed by “from,” minuere; imminuere aliquid (especially to lessen): deminuere partem alicujus rei, or aliquid de aliqua re; detrahere de aliqua re (to take away anything from anything): derogare (e.g., quiddam de honestate, Cic.): to derogate from anybody’s fame, alicujus gloriam or laudem minuere, or imminuere; detrahere de alicujus gloria; gloriae alicujus obtrectare: to derogate from anybody’s authority, auctoritatem minuere or imminuere: to derogate from anybody’s good name, detrahere de fama alicujus.
Abrogate (obsolete); Vid: DEROGATION, imminutio: obtrectatio (e.g., of anybody’s renown, alienae gloriae): without any derogation from your dignity, sine imminutione dignitatis tuae. SYN. in DETRACTION.

Quick answer

What is the Latin word for derogate?
The usual Latin words for “derogate” are minuō, dērogō, immineō. The right choice depends on the sense; see the distinctions below.

Entry from J. E. Riddle & T. K. Arnold, A Copious and Critical English–Latin Lexicon (rev. C. Anthon, New York: Harper, 1864), digitised by Fergus J. P. Walsh, CC BY-SA 4.0; Latin markup adapted by latindictionary.co.