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 268
g cosec x. du = — cot x dx. Ex. 17. Differentiate u = e^cos x, e being the Napierian base. Sugs. du = Cdicosx) + cos x die) = — esinxdx + e^cosxdx =e*(cos X — sin x)dx. Ex. 18. Differentiate u = cce**^ Sugs. du ■= e°dx + xe°^d{cosx) = e^^^dx — xe^^Bin x dx =grosx^l _ a; sin (c)c?a;. Ex. 19.… … ef^ ILLUSTRATIVE EXAMPLES. [Note.—The object of these examples is to still farther illustrate the meaning of the process ofdifferentiation.] Ex. 1. Whicli changes the faster an arc or its sine ? What is therelative rate of change ? When is the disparity greatest and whenleast? What is the relative…
Geometry, Analytic · Calculus
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