"Dutch" is derived from a word that means "the people". As is the Deutsch in Deutschland (what Germans call their nation - land of the people, basically). At one time, there were high Dutch and low Dutch, describing people from hilly regions in (what is now) Germany and people from the low-lying area that is now the Netherlands.
Netherlands is just what it sounds like - the low lands. Apt, since so much of the country should be underwater.
Netherlands = Nederlande = "low lands", encompasses the land which is devoid of mountains
Dutch = same origin as Deutsch (like Pennsylvania Dutch, which is closer to German than Dutch)
https://www.youtube.com/watch?v=A5sC6j8gH_4
(Michael Troughton playing the naive politician making an ultimatum to then-queen Beatrix of the Netherlands over the phone, and of course the brilliant Rik Mayall)
> "When people say England, they sometimes mean Great Britain, sometimes the United Kingdom, sometimes the British Isles - but never England"
“Dutch” however is some peculiar English thing. The Holland/Netherlands thing exist in manny countries but in my home country Norway we call them “nederlender” or “Hollender.” This is similar to what the Dutch call themselves.