private instructor vs tutor

private instructor and tutor both are nouns.

Word	Noun	Adjective	Verb	Adverb
private instructor	Yes	No	No	No
tutor	Yes	No	Yes	No

As nouns, private instructor and tutor are synonyms defined as:

private instructor and tutor: a person who gives private instruction (as in singing, acting, etc.)

Other synonyms of private instructor include coach.

private instructor (noun)	tutor (noun)
a person who gives private instruction (as in singing, acting, etc.)	a person who gives private instruction (as in singing, acting, etc.)

private instructor (verb)	tutor (verb)
	be a tutor to someone; give individual instruction
	act as a guardian to someone