In calculus, the chain rule is a formula for computing the derivative of the composition of two or more functions. That is, if f is a function and g is a function, then the chain rule expresses the derivative of the composite function f ∘ g in terms of the derivatives of f and g.
In integration, the counterpart to the chain rule is the substitution rule.
Read more about Chain Rule: History, The Chain Rule in Higher Dimensions, Further Generalizations
Famous quotes containing the words chain and/or rule:
“How have I been able to live so long outside Nature without identifying myself with it? Everything lives, moves, everything corresponds; the magnetic rays, emanating either from myself or from others, cross the limitless chain of created things unimpeded; it is a transparent network that covers the world, and its slender threads communicate themselves by degrees to the planets and stars. Captive now upon earth, I commune with the chorus of the stars who share in my joys and sorrows.”
—Gérard De Nerval (1808–1855)
“My reason, it’s true, controls my feelings, but whatever its authority, it doesn’t rule them so much as tyrannize them.”
—Pierre Corneille (1606–1684)