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| Title Details: | |
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Derivatives |
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| Authors: |
Toumpis, Stavros Gitzenis, Savvas |
| Reviewer: |
Cheliotis, Dimitrios |
| Description: | |
| Abstract: |
The basic concept of derivatives is presented. As can be seen from the contents, the structure of the material is the usual one. Since students have been exposed to the concept of derivatives in high school, emphasis is placed on material that is relatively new to them, namely 1) Proofs of the various properties of derivatives through their definition. 2) The calculation of the derivative of the inverse function and its applications, for example in the calculation of derivatives of inverse trigonometric functions.
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| Table of Contents: |
5 Παράγωγοι 107
5.1 Ορισμός Παραγώγου και Βασικές Ιδιότητες . . . . . . . . . . . . . . . . . . . . . . . 107 5.2 Παράγωγος Αντιστροφής Συνάρτησης . . . . . . . . . . . . . . . . . . . . . . . . . . 114 5.3 Θεώρημα Μέσης Τιμής . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117 5.4 Παράγουσες . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123 5.5 Περαιτέρω Μελέτη . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130 |
| Type: |
Chapter |
| Creation Date: | 2015 |
| Item Details: | |
| License: |
http://creativecommons.org/licenses/by-nc-sa/3.0/gr |
| Handle | http://hdl.handle.net/11419/2181 |
| Bibliographic Reference: | Toumpis, S., & Gitzenis, S. (2015). Derivatives [Chapter]. In Toumpis, S., & Gitzenis, S. 2015. Single variable function calculus [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/2181 |
| Language: |
Greek |
| Consists of: |
1. Ορισμός Παραγώγου |
| Is Part of: |
Single variable function calculus |
| Number of pages |
24 |
| Publication Origin: |
Kallipos, Open Academic Editions |