Old English misdon, "to do evil or wrong, transgress, err" (senses now obsolete), common Germanic compound (compare Old Frisian misdua, Middle Dutch misdoen, Old High German missituon, German misstun); see mis- (1) + do (v.). Meaning "to do (work, etc.) improperly" is from 1840. Related: Misdoer; misdone; misdoing.
"misuse of power, wrongful exercise of lawful authority or improper performance of a lawful act," 1590s, from French mesfaisance, from mesfaisant, present participle of Old French mesfaire "to misdo," from mes- "wrongly" (see mis- (2)) + faire "to do," from Latin facere "to make, do, perform" (from PIE root *dhe- "to set, put"). Related: Misfeasor.
1530s, "to have doubts (of the reality of), to suspect, to regard (the truth or reality of) with suspicion," from mis- (1) "badly, wrongly" + doubt (v.). Meaning "to fear or suspect (the existence of something evil) is from 1560s. Intransitive sense of "entertain doubt" is from 1630s. Related: Misdoubted; misdoubting. As a noun, "irresolution," 1590s.