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3x Consider the function f(x) the average or mean slope of the function on this interval. 3x on the interval - 4, 4. Find | By the Mean Value Theorem, we know there exists at least one c in the open interval (– 4, 4) such that f'(c) is equal to this mean slope. For this problem, there are two values of c that work. The smaller one is and the larger one is

3x Consider the function f(x) the average or mean slope of the function on this interval. 3x on the interval - 4, 4. Find | By the Mean Value Theorem, we know there exists at least one c in the open interval (– 4, 4) such that f'(c) is equal to this mean slope. For this problem, there are two values of c that work. The smaller one is and the larger one is

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Plz check the pic & plz explain. Thanks.

Consider the function f(x) = 3x the average or mean slope of the function on this interval. 3x on the interval - 4, 4. Find By the Mean Value Theorem, we know there exists at least one c in the open interval - 4, 4) such that f'(c) is equal to this mean slope. For this problem, there are two values ofc that work. The smaller one is and the larger one is
Transcribed Image Text:Consider the function f(x) = 3x the average or mean slope of the function on this interval. 3x on the interval - 4, 4. Find By the Mean Value Theorem, we know there exists at least one c in the open interval - 4, 4) such that f'(c) is equal to this mean slope. For this problem, there are two values ofc that work. The smaller one is and the larger one is
Expert Solution
Step 1

The average slope or the mean slope of a function  f(x) in the interval [a,b] is given by the equation;

avg=f(b)-f(a)b-a

 

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