M. A. Gorelov, “Derivative and monotonicity”, Math. Ed., 2022, no. 4(104), 16

Mathematical Education

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Math. Ed.:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Mathematical Education, 2022, Issue 4(104), Pages 16–25 (Mi mo818)

Students and teachers of secondary school

Derivative and monotonicity

M. A. Gorelov

Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow

Full-text PDF (187 kB)

References:

PDF

HTML

Abstract: The article presents several proofs of the growth of a function with a positive derivative, which do not use the developed apparatus of differential calculus - Fermat's, Rolle's, Lagrange's theorems. The questions of the fundamental non-elementarity of such proofs are discussed, as well as the expediency of including this topic in the school mathematics course.

Document Type: Popular science or education materials

UDC: 517.27

Language: Russian

Citation: M. A. Gorelov, “Derivative and monotonicity”, Math. Ed., 2022, no. 4(104), 16–25

Citation in format AMSBIB

\Bibitem{Gor22}

\by M.~A.~Gorelov

\paper Derivative and monotonicity

\jour Math. Ed.

\yr 2022

\issue 4(104)

\pages 16--25

\mathnet{http://mi.mathnet.ru/mo818}

Linking options:

https://www.mathnet.ru/eng/mo818

https://www.mathnet.ru/eng/mo/y2022/i4/p16

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Registration to the website

Logotypes