Textbook ExpertVerified Tutor
2 Nov 2021
Given information
As per the information, 
is a continuous function.
Step-by-step explanation
Step 1.
Here, the average value of a function 
over an interval 
is the integral of from 
to 
divided by 
.
By using the fundamental Theorem of Calculus to transform this to an equation in terms of , the antiderivative of .
The average value as goes to 
, so take the limit 
, this is difference quotient for (as per the definition of the derivative ).
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1a
- Problem 2
- Problem 3b
- Problem 4a
- Problem 5a
- Problem 5b
- Problem 5c
- Problem 6
- Problem 7
- Problem 8a
- Problem 8b
- Problem 8c
- Problem 9b
- Problem 11
- Problem 13a
- Problem 13b
- Problem 13c
- Problem 14
- Problem 15
- Problem 17a
- Problem 17b
- Problem 18
- Problem 19
- Problem 21
- Problem 22a
- Problem 22b
- Problem 23
- Problem 24
- Problem 25
- Problem 26
- Problem 27
- Problem 28
- Problem 29a
- Problem 29b
- Problem 30
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37a
- Problem 37b
- Problem 37c
- Problem 38
- Problem 39a