Textbook ExpertVerified Tutor
16 Nov 2021
Given information
Note that given, 
and 
are positive increasing functions on an interval 
.
Step-by-step explanation
Step 1.
Note that as is positive and increasing on it is true that for 
where 
the same is true for , as is a positive and increasing function on for where 
.
Let 
be positive numbers such that 
and 
.
To prove that product 
is increasing on we need to show that 
.
As and 
we can multiply the equation with 
and we get 
.
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
- Problem 2
- Problem 2a
- Problem 2b
- Problem 3
- Problem 3a
- Problem 3b
- Problem 4
- Problem 5
- Problem 5b
- Problem 5c
- Problem 5d
- Problem 6
- Problem 6a
- Problem 6b
- Problem 6c
- Problem 7
- Problem 7b
- Problem 7d
- Problem 08
- Problem 8
- Problem 8a
- Problem 9
- Problem 9a
- Problem 9b
- Problem 9c
- Problem 9d
- Problem 10
- Problem 10a
- Problem 10b
- Problem 11
- Problem 11e
- Problem 12
- Problem 13
- Problem 13b
- Problem 14
- Problem 14b
- Problem 26