first derivative vs figuring

first derivative and figuring both are nouns.

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

As nouns, figuring is a hypernym of first derivative; that is, figuring 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
figuring: problem solving that involves numbers or quantities

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

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