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Find derivatives of the first derivative involving differences, products, and quotients. sin x 1- y cos x 2- y = 1-sinx 3- y = (sec x + tan x) (sec x - tan x)

Find derivatives of the first derivative involving differences, products, and quotients. sin x 1- y cos x 2- y = 1-sinx 3- y = (sec x + tan x) (sec x - tan x)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Sheet (3) Differentiation Find derivatives of the first derivative involving differences, products, and quotients. sin x 1- y = cos x 2- у %3D 1-sin x 3- y = (sec x + tan x) (sec x – tan x) cotx 4- y = 1+cotx 5- у%3 cos X tan x 6- y = x² sin x + 2x cos x - 2 sin x 1+cscx 7- y = 1-cscx 8- y = x³ sin x cos x 9- y = x. In(sec-1 x) 10- y = 3sin-1 2x 11- y = Vtan-1x 12- y = (Vx2 – 1) sec-1 x 13- y = e* tan-1x 14- y = csc-(e*) 15- y = Vx sin-1x Find the first and second derivatives involving differences, prodi and quotients a- y = (x-1)(x+x+1) b- y = x3 (1+3x C- y =(*) (3 – x) d- y = 12x e- y = sec x
Transcribed Image Text:Sheet (3) Differentiation Find derivatives of the first derivative involving differences, products, and quotients. sin x 1- y = cos x 2- у %3D 1-sin x 3- y = (sec x + tan x) (sec x – tan x) cotx 4- y = 1+cotx 5- у%3 cos X tan x 6- y = x² sin x + 2x cos x - 2 sin x 1+cscx 7- y = 1-cscx 8- y = x³ sin x cos x 9- y = x. In(sec-1 x) 10- y = 3sin-1 2x 11- y = Vtan-1x 12- y = (Vx2 – 1) sec-1 x 13- y = e* tan-1x 14- y = csc-(e*) 15- y = Vx sin-1x Find the first and second derivatives involving differences, prodi and quotients a- y = (x-1)(x+x+1) b- y = x3 (1+3x C- y =(*) (3 – x) d- y = 12x e- y = sec x
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