Derogatory rhymes with:
interrogatory, interrogatory, investigatory, obligatory, purgatory, accusatory, aleatory, ambulatory, anticipatory, articulatory, celebratory, circulatory, compensatory, conciliatory, confirmatory, confiscatory, congratulatory, contributory, declaratory, defamatory, depilatory, depository, deregulatory, dilatory, discriminatory, dormitory, excretory, exculpatory, expiratory, explanatory, exploratory, hallucinatory, incantatory, inflammatory, inhibitory, interrogatory, investigatory, laboratory, laudatory, lavatory, mandatory, migratory, nondiscriminatory, obligatory, observatory, oratory, oscillatory, participatory, predatory, preparatory, prohibitory, purgatory, reformatory, regulatory, repository, respiratory, retaliatory, revelatory, signatory, statutory, transitory
Derogatory sounds like:
derecktor, detractor, director, directory, dorchester, drugstore