Article Open Access http://dx.doi.org/10.26855/er.2018.11.005
The DOTI Approach: An Alternative Way of Teaching and Learning the Chain Rule
Steve Anglin
Department of Mathematics, Case Western Reserve University, Cleveland, OH, USA.
*Corresponding author: Steve Anglin
Published: November 20,2018
Abstract
For composite functions f(x) and g(x), the derivative is the chain rule, a chain of deriv-atives on f, then g. Well, a new or alternative way of teaching, learning and thinking of the Chain Rule is as follows: Similar to learning how to multiply/factor two binomials using the FOIL Method, we hereby propose the DOTI (Differentiate “Outside” To “In-side”) approach as a way of best teaching or learning the Chain Rule for taking the derivative of two or more composite functions, f and g, etc.
References
Anglin. (2012)"Learning the Chain Rule Using the DOTI Method", Joint Mathematics Meetings (AMS.org) presentation / session:
http://jointmathematicsmeetings.org/amsmtgs/2141_abstracts/1086-vb-36.pdf .
Wolfram Alpha LLC. 2018. Wolfram|Alpha.
http://www.wolframalpha.com/input/?i=derivative+of+5(x%5E4+-+x%5E2+%2B+x)%5E4 (access October 14, 2018).
Wolfram Alpha LLC. 2018. Wolfram|Alpha.
http://www.wolframalpha.com/input/?i=derivative+of+x%5E2+-+4 (access October 14, 2018).
Wolfram Alpha LLC. 2018. Wolfram|Alpha.
http://www.wolframalpha.com/input/?i=derivative+of+3x%5E3 (access October 14, 2018).
Wolfram Alpha LLC. 2018. Wolfram|Alpha.
http://www.wolframalpha.com/input/?i=derivative+of+3exp(x%5E2) (access October 14, 2018).
Wolfram Alpha LLC. 2018. Wolfram|Alpha.
http://www.wolframalpha.com/input/?i=derivative+of+3+cos%5E4(x%5E2) (access October 14, 2018).
Socratic Organization. 2018.
https://socratic.org/questions/what-is-the-derivative-of-f-g-h-x (access October 14, 2018).
Khan Academy. 2018. http://khanacademy.org (access October 14, 2018).
How to cite this paper
The DOTI Approach: An Alternative Way of Teaching and Learning the Chain Rule
How to cite this paper: Steve Anglin. (2018). The DOTI Approach: An Alternative Way of Teaching and Learning the Chain Rule. The Educational Review, USA, 2(11), 555-558.
DOI: http://dx.doi.org/10.26855/er.2018.11.005