Abstract
We now state and prove some rules for computing derivatives of combinations of functions in terms of the derivatives of the functions in the combination. These rules of differentiation form a part of Calculus that can be automated in terms of symbolic manipulation software. In contrast, we will see below that integration, the other basic operation of Calculus, is not open to automatic symbolic manipulation to the same extent. It makes sense that a popular software for symbolic manipulation in Calculus is called Derive and not Integrate.
Calculemus. (Leibniz)
When I have followed a line of thought to the end, it often seems so simple that I start to wonder if I have stolen it from someone. (Horace Engdahl)
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© 2004 Springer-Verlag Berlin Heidelberg
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Eriksson, K., Estep, D., Johnson, C. (2004). Differentiation Rules. In: Applied Mathematics: Body and Soul. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05796-4_24
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DOI: https://doi.org/10.1007/978-3-662-05796-4_24
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05659-8
Online ISBN: 978-3-662-05796-4
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