despairing vs hopeless

despairing and hopeless both are adjectives.

Word	Noun	Adjective	Verb	Adverb
despairing	No	Yes	No	No
hopeless	No	Yes	No	No

despairing (adjective)	hopeless (adjective)
arising from or marked by despair or loss of hope	without hope because there seems to be no possibility of comfort or success
	(informal to emphasize how bad it is) beyond hope of management or reform
	certain to fail
	of a person unable to do something skillfully