What is the derivative of y= 3Arcsin xº, 3 Arcsin x In 3 A y' = 1 - xa 3 Arcsin x* In 3 3 B y' : (а ха-1) 1-x2a In x © y'=- 3/1-x2a Aresin xa (D y' = 3 (In 3) (a) 1– xª II

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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Question 20
What is the derivative of y= 3Arcsin xº,
3
Arcsin xa
In 3
(A
y' =
V
1 - xa
3 Arcsin xa
y'
In 3
(а ха-1)
В
V1-x2a
1-x2а
In xa
© y'=-
3/1-x2a
Arcsin x"
3
(In 3) (а)
y' :
1- x"
Question 21
Obtain the derivative of y= tan?x sec x
A y'=2(tan x sec³x + sec x tan³x)
(в
y'= 2 tan?x sec³x
c) y'= sec x tan x (2 secx + tan x)
(D y'= sec x tan x (tan?x +2 sec?x)
B)
Transcribed Image Text:Question 20 What is the derivative of y= 3Arcsin xº, 3 Arcsin xa In 3 (A y' = V 1 - xa 3 Arcsin xa y' In 3 (а ха-1) В V1-x2a 1-x2а In xa © y'=- 3/1-x2a Arcsin x" 3 (In 3) (а) y' : 1- x" Question 21 Obtain the derivative of y= tan?x sec x A y'=2(tan x sec³x + sec x tan³x) (в y'= 2 tan?x sec³x c) y'= sec x tan x (2 secx + tan x) (D y'= sec x tan x (tan?x +2 sec?x) B)
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