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Differential Calculus

In: Introduction to Mathematics for Economics with R

Author

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  • Massimiliano Porto

    (Kobe University)

Abstract

We start the chapter by introducing the meaning of the derivatives (Sect. 4.1). However, before continuing the discussion on the derivatives, we take a step back and discuss the concept of the limit of a function (Sect. 4.2). Then, we will learn the rules of differentiation (Sect. 4.6) and the concepts of points of minimum, maximum and inflection associated with functions (Sect. 4.9). Additional topics are the Taylor expansion (Sect. 4.10) and the L’Hôpital theorem (Sect.4.11). Examples of applications in Economics include: marginal cost and average cost, profit maximization, and elasticity. Examples of functions coded from scratch include: a function to compute the limit, a function to compute the derivative, a function to implement the Newton-Raphson method.

Suggested Citation

  • Massimiliano Porto, 2022. "Differential Calculus," Springer Books, in: Introduction to Mathematics for Economics with R, chapter 0, pages 351-439, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-05202-6_4
    DOI: 10.1007/978-3-031-05202-6_4
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