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

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SUMMARY

The discussion centers on the desire to access the first paragraph of the "Test of the First Derivative" section in the 9th English edition of "Calculus" by Robert A. Adams. The user currently possesses the 6th Spanish edition and seeks an updated version for improved comprehension. Key concepts discussed include the behavior of functions with nonzero derivatives, critical points, and the conditions for local maximum values. The user expresses a preference for English texts, indicating a willingness to purchase the updated edition.

PREREQUISITES
  • Understanding of basic calculus concepts, including derivatives and critical points.
  • Familiarity with the structure of calculus textbooks, particularly those by Robert A. Adams.
  • Knowledge of function behavior in relation to increasing and decreasing intervals.
  • Ability to translate mathematical terminology between languages, specifically Spanish and English.
NEXT STEPS
  • Research the differences between the 6th Spanish edition and the 9th English edition of "Calculus" by Robert A. Adams.
  • Study the implications of the first derivative test in calculus.
  • Explore online resources or forums for calculus textbook comparisons.
  • Consider purchasing the 9th English edition for enhanced understanding of calculus concepts.
USEFUL FOR

Students of calculus, educators seeking updated teaching materials, and anyone looking to improve their understanding of derivative tests and function behavior in calculus.

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!
 

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