due care vs tutelage

due care and tutelage both are nouns.

Word	Noun	Adjective	Verb	Adverb
due care	Yes	No	No	No
tutelage	Yes	No	No	No

As nouns, tutelage is a hypernym of due care; that is, tutelage is a word with a broader meaning than due care:

due care: the care that a reasonable man would exercise under the circumstances; the standard for determining legal duty
tutelage: attention and management implying responsibility for safety

Other hypernyms of due care include care, charge, guardianship.

due care (noun)	tutelage (noun)
the care that a reasonable man would exercise under the circumstances; the standard for determining legal duty	teaching pupils individually (usually by a tutor hired privately)
	attention and management implying responsibility for safety