Want to read a paragraph at "Calculus", by R. A. Adams, 8th or 7th ed.

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In summary, the conversation is about a request for an updated paragraph from the 4.2 section of the book "Cálculo" by Robert A. Adams, specifically on testing the first derivative. The person is interested in purchasing the 9th English edition of the book, as they find it easier to understand in English. The summary also mentions that most functions in elementary calculus have nonzero derivatives, and the theorem discussed in the conversation collects several related results.
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mcastillo356
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Hi,PF

I've got "Cálculo", Spanish 6th edition, by Robert A. Adams. At Chapter 4.2, would like to read an updated (guess it might be better) 1st. paragraph of the section I translate "Test of the first derivate".

Regards
 
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Most functions you will encounter in elementary calculus have nonzero derivatives ev- erywhere on their domains except possibly at a finite number of critical points, singular points, and endpoints of their domains. On intervals between these points the derivative exists and is not zero, so the function is either increasing or decreasing there. If f is continuous and increases to the left of x0 and decreases to the right, then it must have a local maximum value at x0. The following theorem collects several results of this type together.

9th english edition
 
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Thanks! Willing to buy it, don't know when. I manage better in English!
 

FAQ: Want to read a paragraph at "Calculus", by R. A. Adams, 8th or 7th ed.

What is the main focus of "Calculus" by R. A. Adams?

The main focus of "Calculus" is to introduce students to the fundamental concepts and techniques of calculus, including limits, derivatives, and integrals, and how to apply them to solve problems in various fields of mathematics, science, and engineering.

Is "Calculus" suitable for beginners or is it more advanced?

"Calculus" by R. A. Adams is suitable for both beginners and more advanced students. It starts with the basics and gradually progresses to more complex topics, making it accessible to a wide range of readers.

What is the difference between the 8th and 7th editions of "Calculus"?

The 8th edition of "Calculus" includes updated examples and exercises, as well as new sections on topics such as optimization and differential equations. It also has improved graphics and diagrams. However, the overall content and structure of the book remain largely the same as the 7th edition.

How does "Calculus" by R. A. Adams compare to other calculus textbooks?

"Calculus" is known for its clear and concise explanations, numerous examples and exercises, and its focus on real-world applications. It also includes historical notes and biographies of mathematicians, making it a more engaging read compared to other textbooks.

Is "Calculus" by R. A. Adams a good resource for self-study?

Yes, "Calculus" is a great resource for self-study. It provides a comprehensive and well-structured approach to learning calculus, with plenty of practice problems and solutions available. However, it is always beneficial to supplement self-study with additional resources and seek guidance from a teacher or tutor if needed.

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