20 Dec 2021
Problem 1b
Page 181
Section: 3.1 Derivatives of Polynomials and Exponential Functions
Chapter 3: Differentiation Rules
Textbook ExpertVerified Tutor
20 Dec 2021
Given information
Step-by-step explanation
Step 1.
Using a calculator, I found that
And that
We know that
Where 
As 
increases the slope of the function 
at 
increases.
increases the slope of the function at increases.By definition, 
is a number such that the slope of 
is 1 at
is a number such that the slope of is 1 at We saw earlier that slope of for 
is less than 1 and for 
is more than 1 .
for is less than 1 and for is more than 1 .Therefore, the slope of must be between 
and 
, because the slope of when 
is 1 .
must be between and , because the slope of when is 1 .
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1a
- Problem 1b
- Problem 2a
- Problem 2b
- Problem 2c
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10
- Problem 11
- Problem 12
- Problem 13
- Problem 14
- Problem 15
- Problem 16
- Problem 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 23
- Problem 24
- Problem 25
- Problem 26
- Problem 27
- Problem 28
- Problem 29
- Problem 30
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37
- Problem 38
- Problem 39a
- Problem 39b
- Problem 39c
- Problem 40a
- Problem 40b
- Problem 40c
- Problem 41
- Problem 42
- Problem 43
- Problem 44
- Problem 45a
- Problem 45b
- Problem 45c
- Problem 46a
- Problem 46b
- Problem 46c
- Problem 47
- Problem 48
- Problem 49
- Problem 50
- Problem 51
- Problem 52
- Problem 53
- Problem 54
- Problem 55
- Problem 56
- Problem 57
- Problem 58a
- Problem 58b
- Problem 59
- Problem 60a
- Problem 60b
- Problem 61
- Problem 62
- Problem 63a
- Problem 63b
- Problem 63c
- Problem 64a
- Problem 64b
- Problem 66
- Problem 67
- Problem 68
- Problem 74