dairy product vs cream

dairy product and cream both are nouns.

Word	Noun	Adjective	Verb	Adverb
dairy product	Yes	No	No	No
cream	Yes	No	Yes	No

As nouns, cream is a hyponym of dairy product; that is, cream is a word with a more specific, narrower meaning than dairy product:

Other hyponyms of dairy product include milk, half-and-half, butter, yoghourt, yoghurt, yogurt, whey, curd, clabber, cheese.

dairy product (noun)	cream (noun)
milk and butter and cheese	toiletry consisting of any of various substances in the form of a thick liquid that have a soothing and moisturizing effect when applied to the skin
	the part of milk containing the butterfat
	the best people or things in a group

dairy product (verb)	cream (verb)
	add cream to one's coffee, for example
	make creamy by beating
	remove from the surface
	put on cream, as on one's face or body
	beat thoroughly and conclusively in a competition or fight