Consider the function f(x) = 5 - 5x² on the interval [ – 1, 4]. Find the average or mean slope of the function on this interval, i.e. f(4) - f(-1) 4- (-1) By the Mean Value Theorem, we know there exists a c in the open interval (-1, 4) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.
Consider the function f(x) = 5 - 5x² on the interval [ – 1, 4]. Find the average or mean slope of the function on this interval, i.e. f(4) - f(-1) 4- (-1) By the Mean Value Theorem, we know there exists a c in the open interval (-1, 4) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.
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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![Consider the function f(x) = 5 - 5x² on the interval [ – 1, 4]. Find the average or mean slope of the
function on this interval, i.e.
f(4) - f(-1)
4- (-1)
By the Mean Value Theorem, we know there exists a c in the open interval (-1, 4) such that f'(c) is
equal to this mean slope. For this problem, there is only one c that works. Find it.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05131d29-f589-4338-9963-7b7aaa270cda%2Fd98ebe9d-d59e-414e-ac8f-5229d367177d%2Fmsu9ops_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the function f(x) = 5 - 5x² on the interval [ – 1, 4]. Find the average or mean slope of the
function on this interval, i.e.
f(4) - f(-1)
4- (-1)
By the Mean Value Theorem, we know there exists a c in the open interval (-1, 4) such that f'(c) is
equal to this mean slope. For this problem, there is only one c that works. Find it.
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