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
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
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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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
(−∞, ∞).
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