17 Nov 2021
Problem 36b
Page 280
Section 4.3: Derivatives and Shapes of Curves
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
17 Nov 2021
Given information
Given the function is 
.
The main objective is to find the intervals on which 
is increasing or decreasing.
Increasing and Decreasing:
A function is increasing on an interval, if 
on that interval.
A function is decreasing on an interval, if 
on that interval.
Step-by-step explanation
Step 1.
Find 
:
To find the critical numbers solve 
.
This equation is 0 only when 
. So, the critical number is .
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
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