how that the function is increasing on the given open interval. (Enter your answers as a comma-separated list if necessary.) y = x5; increasing on (-00,00) We have y'(x) = and y'(1) = . y'(x) = 0 when x = , we have that y is increasing on (-00, 00). Therefore, the critical numbers are x = . Finally, since y'(-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

Show that the function is increasing on the given open interval. (Enter your answers as a comma-separated list if necessary.)

y = x5;
 increasing on 
(−∞, ∞)
We have 
y'(x) = 
 
 
 
 .
 
y'(x) = 0
 when 
x = 
 
 
 
 .
 Therefore, the critical numbers are 
x = 
 
 
 
 .
 Finally, since 
y'(−1) = 
 
 
 
 and 
y'(1) = 
 
 
 
 ,
 we have that y is increasing on 
(−∞, ∞).
Show that the function is increasing on the given open interval. (Enter your answers as a comma-separated list if necessary.)
y = x5; increasing on (-00, 00)
We have y'(x) =
and y'(1) =
. y'(x) = 0 when x =
we have that y is increasing on (-00, 00).
. Therefore, the critical numbers are x =
. Finally, since y'(-1) =
Transcribed Image Text:Show that the function is increasing on the given open interval. (Enter your answers as a comma-separated list if necessary.) y = x5; increasing on (-00, 00) We have y'(x) = and y'(1) = . y'(x) = 0 when x = we have that y is increasing on (-00, 00). . Therefore, the critical numbers are x = . Finally, since y'(-1) =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
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