Derange vs Delusional - What's the difference?

As a verb derange

is .

suffering from or characterized by delusions.

(en-verb)

to cause someone to go insane (usually used in the passive, see deranged )

to cause disorder in something, to distort it from its ideal state

* 1776, Adam Smith, The Wealth of Nations

Both these kinds of monopolies derange more or less the natural distribution of the stock of the society;

(archaic) to disrupt somebody's plans, to inconvenience someone

* 1782, Fanny Burney, Cecilia, Memoirs of an Heiress

"By no means, Sir," answered the Captain: "I shall be quite au désespoir if I derange any body."