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 .