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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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)
cot x
4- y =
1+cotx
4
5- у %3
cos x
tan x
6- y = x' sin x + 2x cos x - 2 sin x
1+csc x
7- y =
1-cscx
8- y = x³ sin x cos x
9- y = x. In(secx)
10-
y = 3sin-12x
11-
y = Vtan-1
12-
y = (Vx2 – 1) sec-1x
13-
y = e* tan-1x
y = csc-(e*)
y = Vx sin-1x
14-
15-
Find the first and second derivatives involving differences, products, and quotients.
x3 +7
a- y =
(x-1)(x2+x+1)
b- y =
x3
(1+3x)
C- y =
3 (3- x)
d- y = (
(반)
12x
e- y = secx
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) cot x 4- y = 1+cotx 4 5- у %3 cos x tan x 6- y = x' sin x + 2x cos x - 2 sin x 1+csc x 7- y = 1-cscx 8- y = x³ sin x cos x 9- y = x. In(secx) 10- y = 3sin-12x 11- y = Vtan-1 12- y = (Vx2 – 1) sec-1x 13- y = e* tan-1x y = csc-(e*) y = Vx sin-1x 14- 15- Find the first and second derivatives involving differences, products, and quotients. x3 +7 a- y = (x-1)(x2+x+1) b- y = x3 (1+3x) C- y = 3 (3- x) d- y = ( (반) 12x e- y = secx
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