Timeline for The role of the mean value theorem (MVT) in first-year calculus
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Dec 20, 2017 at 3:35 | comment | added | roy smith | @LSpice,This is a (double starred) propblem near the end of chapter 11, "Significance of the derivative", in Spivak's calculus book, and seems to derive from one by H.A.Schwartz. | |
| Dec 12, 2017 at 17:38 | comment | added | LSpice | How does one prove (4) using compactness? | |
| Feb 27, 2012 at 22:49 | history | edited | David White | CC BY-SA 3.0 |
Texified, since question was on front-page anyway
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| Jan 18, 2011 at 19:10 | comment | added | roy smith | In fact, it seems to be an exercise, using compactness, to prove corollary 4) above directly from the definition of a derivative. Thus one can eliminate the MVT entirely from 1st semester calculus, including any application of antiderivatives including the fundamental theorem of calculus, and still prove everything, if desired. | |
| Nov 23, 2010 at 18:41 | history | edited | roy smith | CC BY-SA 2.5 |
deleted 30 characters in body
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| Nov 22, 2010 at 23:55 | history | edited | roy smith | CC BY-SA 2.5 |
added 3 characters in body
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| Nov 22, 2010 at 20:24 | history | answered | roy smith | CC BY-SA 2.5 |