table d'hote vs carte du jour

table d'hote and carte du jour both are nouns.

Word	Noun	Adjective	Verb	Adverb
table d'hote	Yes	Yes	No	No
carte du jour	Yes	No	No	No

As nouns, carte du jour is a hypernym of table d'hote; that is, carte du jour is a word with a broader meaning than table d'hote:

table d'hote: a menu offering a complete meal with limited choices at a fixed price
carte du jour: a list of dishes available at a restaurant

Other hypernyms of table d'hote include bill of fare, card, carte, menu.

table d'hote (noun)	carte du jour (noun)
a menu offering a complete meal with limited choices at a fixed price	a list of dishes available at a restaurant

table d'hote (adjective)	carte du jour (adjective)
(of a restaurant meal) complete but with limited choices and at a fixed price