An example of despondent is a suicidal person; a despondent person.
The children, feeling sad and despondent, were about to follow him when the Wizard touched Dorothy softly on her shoulder.
I'll give them a few months more before I start to get despondent.
Before you get too despondent, though, there's some good news.
In his law practice he had disappointed himself and his friends, and he became despondent as to his future.