Exercise 3.2. 1. Verify each differentiation formula d -u (a) [Arccos(u)] = dx V1-u2 (b)[Arccot(u)] = dx 1+u? -ur (c) [Arccsc(u)] = dx Ju|Vu2-1

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...
icon
Related questions
Question

What's the solution for 1 & 2?

 

Exercise 3.2.
1. Verify each differentiation formula
(a) [Arccos(u)] =
-u
dx
V1-u2
(b)[Arccot(u)] =
-ur
dx
1+и?
(c) [Arccsc(u)] =
-u!
dx
Ju|Vu2-1
2. True or False.
The [Arctan(tan x)] = 1 for all x in the domain. ans. True
dx
Transcribed Image Text:Exercise 3.2. 1. Verify each differentiation formula (a) [Arccos(u)] = -u dx V1-u2 (b)[Arccot(u)] = -ur dx 1+и? (c) [Arccsc(u)] = -u! dx Ju|Vu2-1 2. True or False. The [Arctan(tan x)] = 1 for all x in the domain. ans. True dx
Expert Solution
steps

Step by step

Solved in 4 steps with 7 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning