a theorem that may be used in the differentiation of the function of a function. It states that du/dx = (du/dy)(dy/dx), where y is a function of x and u a function of y
chain rule in American English
noun
Math
the theorem that defines the method for taking the derivative of a composite function
Word origin
[1860–65]This word is first recorded in the period 1860–65. Other words that entered Englishat around the same time include: big brother, calibrate, institutionalism, jumping jack, metric system
Examples of 'chain rule' in a sentence
chain rule
Fundamental properties, like nonnegativity, monotonicity, the chain rule and subadditivity, are established.
Shigeru Furuichi, Flavia-Corina Mitroi-Symeonidis, Eleutherius Symeonidis 2014, 'On Some Properties of Tsallis Hypoentropies and Hypodivergences', Entropyhttp://www.mdpi.com/1099-4300/16/10/5377. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Students were also able to correctly apply the chain rule to an exponential function with base e, raised to 4x.
Aneshkumar Maharaj, Mthobisi Ntuli 2018, 'Students' ability to correctly apply differentiation rules to structurally differentfunctions', South African Journal of Sciencehttps://www.sajs.co.za/article/view/5008. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
This method obtains directly the primitive variables applying the chain rule to the time term of the conservative equations.
A Aguayo-Ortiz, S Mendoza, D Olvera 2018, 'A direct Primitive Variable Recovery Scheme for hyperbolic conservative equations:The case of relativistic hydrodynamics.', PLoS ONEhttp://europepmc.org/articles/PMC5901931?pdf=render. Retrieved from PLOS CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)