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8 Nov 2021
Problem 19
Page 163
Section 2.8: What Does f' say About f ?
Chapter 2: Limits and Derivatives
Textbook ExpertVerified Tutor
8 Nov 2021
Given information
The given conditions that the function 
satisfies are:
,
if 
,
if 
or if 
,
if 
if 
or
Step-by-step explanation
Step 1.
Write the meaning of the given conditions.
As, , therefore it can be said that the function has local extremes at 
and 
.
As, if , therefore it can be said that the function 
is increasing when 
.
As, if or if , therefore it can be said that the function is decreasing when 
.
As, if , therefore it can be said that the function is concave upwards when 
.
As if or , therefore it can be said that the function is concave downwards when 
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1a
- Problem 1b
- Problem 1c
- Problem 2a
- Problem 2b
- Problem 2c
- Problem 3a
- Problem 3b
- Problem 3c
- Problem 4a
- Problem 4b
- Problem 4c
- Problem 5
- Problem 6
- Problem 7
- Problem 8a
- Problem 8b
- Problem 8c
- Problem 9
- Problem 10a
- Problem 10b
- Problem 10c
- Problem 10d
- Problem 11a
- Problem 11b
- Problem 12a
- Problem 12b
- Problem 12b
- Problem 13
- Problem 14
- Problem 15a
- Problem 15b
- Problem 15c
- Problem 15d
- Problem 16a
- Problem 16b
- Problem 16c
- Problem 16d
- Problem 17
- Problem 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 23
- Problem 24
- Problem 25a
- Problem 25b
- Problem 26
- Problem 27a
- Problem 27b
- Problem 27c
- Problem 28a
- Problem 28b
- Problem 28c
- Problem 29
- Problem 30
- Problem 31
- Problem 32
- Problem 33
- Problem 34