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:
“It could not have come down to us so far,
Through the interstices of things ajar
On the long bead chain of repeated birth,
To be a bird while we are men on earth,”
—Robert Frost (18741963)
“As an example to others, and not that I care for moderation myself, it has always been my rule never to smoke when asleep, and never to refrain from smoking when awake.”
—Mark Twain [Samuel Langhorne Clemens] (18351910)