Etymology
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derogatory (adj.)

c. 1500, "detracting or tending to lessen authority, rights, or standing by taking something away from," from Late Latin derogatorius, from Latin derogatus, past participle of derogare "to take away, detract from, diminish," also "repeal partly, restrict, modify," from de "away" (see de-) + rogare "ask, question; propose," apparently a figurative use of a PIE verb meaning literally "to stretch out (the hand)," from root *reg- "move in a straight line." In reference to honor, esteem, or reputation, 1560s. Related: Derogatorily.

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Definitions of derogatory

derogatory (adj.)
expressive of low opinion;
derogatory comments
Synonyms: derogative / disparaging
From wordnet.princeton.edu