despair vs resignation

despair and resignation both are nouns.

Word	Noun	Adjective	Verb	Adverb
despair	Yes	No	Yes	No
resignation	Yes	No	No	No

As nouns, resignation is a hyponym of despair; that is, resignation is a word with a more specific, narrower meaning than despair:

despair: the feeling that everything is wrong and nothing will turn out well
resignation: acceptance of despair

Other hyponyms of despair include hopelessness, surrender, discouragement, disheartenment, dismay, pessimism.

despair (noun)	resignation (noun)
the feeling that everything is wrong and nothing will turn out well	the act of giving up (a claim or office or possession etc.)
a state in which all hope is lost or absent	a formal document giving notice of your intention to resign
	acceptance of despair

despair (verb)	resignation (verb)
abandon hope; give up hope; lose heart