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) =
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...
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
(−∞, ∞).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning