hopeless vs despairing

hopeless and despairing both are adjectives.

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

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