Consider the function f(x) interval. 1 = on the interval [4, 7]. Find the average or mean slope of the function on this X By the Mean Value Theorem, we know there exists a c in the open interval (4, 7) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it. Question Help: Video

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.3: Linear Functions And Slope
Problem 103E
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Consider the function f(x)
interval.
1
=
on the interval [4, 7]. Find the average or mean slope of the function on this
X
By the Mean Value Theorem, we know there exists a c in the open interval (4, 7) such that f'(c) is equal to
this mean slope. For this problem, there is only one c that works. Find it.
Question Help:
Video
Transcribed Image Text:Consider the function f(x) interval. 1 = on the interval [4, 7]. Find the average or mean slope of the function on this X By the Mean Value Theorem, we know there exists a c in the open interval (4, 7) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it. Question Help: Video
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