The chain rule is a formula in calculus that gives the derivative of a composed function built from two differentiable functions. If a function h is formed by first applying a function y and then applying a function z to the result, the chain rule states that the derivative of h at a point equals the derivative of z at the value y takes at that point, multiplied by the derivative of y at that point. In the notation where z depends on y and y depends on x, this is usually written as the derivative of z with respect to x equals the derivative of z with respect to y multiplied by the derivative of y with respect to x. The rule is one of the basic tools of differential calculus, since it lets a complicated function built out of simpler functions be differentiated by differentiating each simpler piece separately.
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StatementThe chain rule expresses the derivative of the composition of two differentiable functions z and y in terms of the derivatives of z and y. 1 Classification
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Source Chain rule (Wikipedia)
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1. Chain rule (Wikipedia)
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In calculus, the chain rule is a formula that expresses the derivative of the composition of two differentiable functions z and y in terms of the derivatives of z and y.
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