Differentiation from first principles using spreadsheets

Lim, Kieran 2008, Differentiation from first principles using spreadsheets, Australian senior mathematics journal, vol. 22, no. 2, pp. 41-48.

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Title Differentiation from first principles using spreadsheets
Author(s) Lim, Kieran
Journal name Australian senior mathematics journal
Volume number 22
Issue number 2
Start page 41
End page 48
Total pages 8
Publisher Australian Association of Mathematics Teachers
Place of publication Adelaide, S. Aust.
Publication date 2008
ISSN 0819-4564
Summary The article demonstrates the ability of spreadsheets to fit a polynomial to a set of discrete points. It is noted that such an ability enables students to not just evaluate a gradient at a single point, but at a whole family of points, which generates the analytical global gradient function of secants without doing any algebraic manipulations. One of the advantages of such an approach is that it enables the class to focus on the concepts being taught, rather than being hindered by the mechanics of trying to factorise a cubic polynomial.
Language eng
Field of Research 010302 Numerical Solution of Differential and Integral Equations
Socio Economic Objective 970101 Expanding Knowledge in the Mathematical Sciences
HERDC Research category C1 Refereed article in a scholarly journal
Persistent URL http://hdl.handle.net/10536/DRO/DU:30017704

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