Canvas 发表于 2025-3-28 15:22:49

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对待 发表于 2025-3-28 20:01:21

What Is a Derivative?In Chapter 3 Thompson makes crystal clear what a derivative is, and how to calculate it. However, it seemed to me useful to make a few introductory remarks about derivatives that may make Thompson’s chapter even easier to understand.

Acclaim 发表于 2025-3-29 01:11:05

To Deliver You from the Preliminary TerrorsThe preliminary terror, which chokes off most high school students from even attempting to learn how to calculate, can be abolished once for all by simply stating what is the meaning—in common-sense terms—of the two principal symbols that are used in calculating.

fluoroscopy 发表于 2025-3-29 06:32:12

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都相信我的话 发表于 2025-3-29 10:46:46

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inveigh 发表于 2025-3-29 13:34:57

Sums, Differences, Products, and QuotientsWe have learned how to differentiate simple algebraical functions such as . + . or ., and we have now to consider how to tackle the . of two or more functions.

压舱物 发表于 2025-3-29 19:03:50

Successive DifferentiationLet us try the effect of repeating several times over the operation of differentiating a function. Begin with a concrete case.

Exclaim 发表于 2025-3-29 22:38:38

Introducing a Useful DodgeSometimes one is stumped by finding that the expression to be differentiated is too complicated to tackle directly.

Visual-Field 发表于 2025-3-30 02:40:54

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漂白 发表于 2025-3-30 07:48:46

Maxima and MinimaA quantity which varies continuously is said to pass by (or through) a local maximum or minimum value when, in the course of its variation, the immediately preceding and following values are . smaller or greater, respectively, than the value referred to. An infinitely great value is therefore not a maximum value.
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查看完整版本: Titlebook: Calculus Made Easy; Silvanus P. Thompson,Martin Gardner Textbook Nov 1999Latest edition Macmillan Publishers Limited 1998