brainchild vs product

brainchild and product both are nouns.

Word	Noun	Adjective	Verb	Adverb
brainchild	Yes	No	No	No
product	Yes	No	No	No

As nouns, product is a hypernym of brainchild; that is, product is a word with a broader meaning than brainchild:

Other hypernyms of brainchild include production.

brainchild (noun)	product (noun)
a product of your creative thinking and work	an artifact that has been created by someone or some process
	items for sale to the individual consumer
	a quantity obtained by multiplication
	the set of elements common to two or more sets
	a consequence of someone's efforts or of a particular set of circumstances
	a chemical substance formed as a result of a chemical reaction