"urging to some course of conduct or action," 1580s, from French hortatoire and directly from Late Latin hortatorius "encouraging, cheering," from hortatus, past participle of hortari "exhort, encourage, urge, incite, instigate," intensive of horiri "urge, incite, encourage," from PIE root *gher- (2) "to like, want." Older in English is hortation (1530s), from Latin hortationem.
late 14c., exhortacioun, "incitement by means of argument, appeal, or admonition; the argument or appeal made," from Old French exhortacion and directly from Latin exhortationem (nominative exhortatio) "an exhortation, encouragement," noun of action from past-participle stem of exhortari "to exhort, encourage," from ex- "thoroughly" (see ex-) + hortari "encourage, urge" (from PIE root *gher- (2) "to like, want"). From early 15c. as "speech for the purpose of exhortation."
"of or pertaining to exhortation, tending incite by means of argument, appeal, or admonition," early 15c., exhortatori, from Late Latin exhortatorius, from Latin exhortari "to encourage, stimulate" (see exhort).
"ostentatiously superior and condescendingly favorable," by 1806, present-participle adjective from patronize. In 18c. generally in a more positive sense, "act as a patron to, support and encourage." Related: Patronizingly.