23. Consider the function f (x) = 1 - 5x² on the interval [–1,5] . Find the average or mean slope of the function on this interval, i.e. f(5) - f(-1) 5 - (-1) %3D By the Mean Value Theorem, we know there exists a c in the open interval (-1,5) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.
23. Consider the function f (x) = 1 - 5x² on the interval [–1,5] . Find the average or mean slope of the function on this interval, i.e. f(5) - f(-1) 5 - (-1) %3D By the Mean Value Theorem, we know there exists a c in the open interval (-1,5) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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![23. Consider the function f (x) = 1-5x2 on the interval [-1,5]. Find the average or mean
%3D
slope of the function on this interval, i.e.
f(5) - f(-1).
5 - (-1)
%D
By the Mean Value Theorem, we know there exists a c in the open interval (-1,5) 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%2Facb7559e-4568-4551-990b-f57df1705333%2Fd6bb80d9-d64e-440c-aa45-0f30eea51cc6%2Fsx7thwu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:23. Consider the function f (x) = 1-5x2 on the interval [-1,5]. Find the average or mean
%3D
slope of the function on this interval, i.e.
f(5) - f(-1).
5 - (-1)
%D
By the Mean Value Theorem, we know there exists a c in the open interval (-1,5) 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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