despair vs surrender

despair and surrender both are nouns.

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

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

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

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

despair (noun)	surrender (noun)
the feeling that everything is wrong and nothing will turn out well	the act of surrendering (usually under agreed conditions)
a state in which all hope is lost or absent	the delivery of a principal into lawful custody
	a verbal act of admitting defeat
	acceptance of despair

despair (verb)	surrender (verb)
abandon hope; give up hope; lose heart	give up or agree to forgo to the power or possession of another
	relinquish possession or control over