first derivative vs calculation

first derivative and calculation both are nouns.

Word	Noun	Adjective	Verb	Adverb
first derivative	Yes	No	No	No
calculation	Yes	No	No	No

As nouns, calculation is a hypernym of first derivative; that is, calculation is a word with a broader meaning than first derivative:

first derivative: the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
calculation: problem solving that involves numbers or quantities

Other hypernyms of first derivative include computation, figuring, reckoning.

first derivative (noun)	calculation (noun)
the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx	the procedure of calculating; determining something by mathematical or logical methods
	problem solving that involves numbers or quantities
	planning something carefully and intentionally