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:
“Loyalty to petrified opinions never yet broke a chain or freed a human soul in this world—and never will.”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)
“After all, the practical reason why, when the power is once in the hands of the people, a majority are permitted, and for a long period continue, to rule is not because they are most likely to be in the right, nor because this seems fairest to the minority, but because they are physically the strongest. But a government in which the majority rule in all cases cannot be based on justice, even as far as men understand it.”
—Henry David Thoreau (1817–1862)