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A general geometry and calculus : including book I. of the general geometry, treating of loci in a plane; and an elementary course in the differential and integral calculus (1881)

Olney, Edward, 1827-1887 · New York : Sheldon and Co. · leaf 263

An illustration from A general geometry and calculus : including book I. of the general geometry, treating of loci in a plane; and an elementary course in the differential and integral calculus, 1881, leaf 263
e.—The student should not fail to see in every such example the real object of the Dif-ferential Calculus {42). In the last example the relation between finite values of the A-ariables xand v is y = log. x. The relation between the contemporaneous, infinitesimal elements of thesevariables is found… … LOGARITHMIC AND EXPONENTIAL FUNCTIONS. 29 taking on infinitesimal increments, liow much faster is the numberincreasing than its common logarithm ? If this relative rate of changecontinued uniform (which it does not) while the number passed to2125, i. e. increased by 1, how much would the logarithm…

Geometry, Analytic · Calculus

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