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.

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.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.6: Inequalities

Problem 18E

See similar textbooks

Similar questions

The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item. b.What is the cost of making 25 items? c.Suppose the maximum cost allowed is SI500. What are the domain and range of the cost function, C(x) ?
The true proportion p of people who give a favorable rating to Congress is 8% with a margin of error of 1.5%. Describe this statement using an absolute value equation.
A garden has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing only on three sides. Find the length and width of the plot that will maximize the area.
Heating oil is to be poured at the constant rate of 4.5 gallons per minute into a 400-gallon tank that already contains 115 gallons of heating oil. What fraction of the tank’s total capacity will be full in 30 minutes?
The intrest on an investment varies directly as the rate of intrest. If the intrest is $53 when thw inntrest rate is 5%, find the intrest when the rate is 3.8%. The intrest when the rate of intrest is at 3.8% is $_____.
The slope of the curve f(x)=x^(2)+4 at point (-1,4) is