Titlebook: Calculus Made Easy; Silvanus P. Thompson Textbook 1965Latest edition Macmillan Publishers Limited 1965 analysis.calculus.mathematics

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Tien-Vu Nguyen,Dinh Phung,Svetha VenkateshL. us try the effect of repeating several times over the operation of differentiating a function (see p. 11). Begin with a concrete case.

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Xu-Cheng Yin,Kaizhu Huang,Hong-Wei HaoS. one is stumped by finding that the expression to be differentiated is too complicated to tackle directly.

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Zhichen Lai,Chenwei Tang,Jiancheng LvA quantity which varies continuously is said to pass by (or through) a 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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Dong Huang,Chang-Dong Wang,Jian-Huang LaiL. there be a quantity growing in such a way that the increment of its growth, during a given time, shall always be proportional to its own magnitude. This resembles the process of reckoning interest on money at some fixed rate; for the bigger the capital, the bigger the amount of interest on it in a given time.

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Kai Yao,Kaizhu Huang,Rui Zhang,Amir HussainGreek letters being usual to denote angles, we will take as the usual letter for any variable angle the letter . (“ theta ”).