rage vs desire

rage and desire both are nouns.

Word	Noun	Adjective	Verb	Adverb
rage	Yes	No	Yes	No
desire	Yes	No	Yes	No

As nouns, desire is a hypernym of rage; that is, desire is a word with a broader meaning than rage:

rage (noun)	desire (noun)
an interest followed with exaggerated zeal	an inclination to want things
a feeling of intense anger	the feeling that accompanies an unsatisfied state
a state of extreme anger	something that is desired
violent state of the elements
something that is desired intensely

rage (verb)	desire (verb)
feel intense anger	feel or have a desire for; want strongly
be violent; as of fires and storms	express a desire for
behave violently, as if in state of a great anger	expect and wish