Abstract
A function of the form is called a linear function because the graph of the function is a straight line.
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Notes
- 1.
More about limit in Sect. 5.2.1 below.
- 2.
The curve shown in Fig. 5.7c is technically not a function since there are multiple \(y\)-values for a given \(x\)-value.
- 3.
Global minimum or maximum can occur at endpoints of a domain, where \(f'(x)\) does not necessarily equal zero.
- 4.
Adopted from P.D.Taylor, Calculus: The Analysis of Functions, Wall & Emerson, Toronto, 1992.
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Vali, S. (2014). Rates of Change and the Derivative. In: Principles of Mathematical Economics. Mathematics Textbooks for Science and Engineering, vol 3. Atlantis Press, Paris. https://doi.org/10.2991/978-94-6239-036-2_5
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DOI: https://doi.org/10.2991/978-94-6239-036-2_5
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