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)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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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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ISBN:
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Publisher:
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