Consider the function f(x)=1/x  on the interval [1,8]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a cc in the open interval (1,8)(1,8) such that f'(c)f′(c) is equal to this mean slope. For this problem, there is only one cc that works. Find it.   I have attempted to solve this problem but I feel like im off. I will show the work I have in a photo. Hoping to see where I went wrong.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question

Consider the function f(x)=1/x  on the interval [1,8]. Find the average or mean slope of the function on this interval.

By the Mean Value Theorem, we know there exists a cc in the open interval (1,8)(1,8) such that f'(c)f′(c) is equal to this mean slope. For this problem, there is only one cc that works. Find it.

 

I have attempted to solve this problem but I feel like im off. I will show the work I have in a photo. Hoping to see where I went wrong.

 

 

Interval 8
f(8)- f()
T
3.
40
51
3.
40
-3
280
%3D
3.
2440
1.
Transcribed Image Text:Interval 8 f(8)- f() T 3. 40 51 3. 40 -3 280 %3D 3. 2440 1.
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