Derogatory
early 16th century (in the sense ‘impairing in force or effect’): from late Latin derogatorius, from derogat- ‘abrogated’, from the verb derogare (see derogate).
wiktionary
Borrowed from Late Latin dērogātōrius, from Latin dērogāre; corresponding to derogate + -ory.
etymonline
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.