Consider the function f(x) = 2x³ - 3x on the interval [-5, 5]. Find function on this interval. By the Mean Value Theorem, we know there exists at least one c in the f'(c) is equal to this mean slope. For this problem, there are two values of c that work. The smaller one is
Consider the function f(x) = 2x³ - 3x on the interval [-5, 5]. Find function on this interval. By the Mean Value Theorem, we know there exists at least one c in the f'(c) is equal to this mean slope. For this problem, there are two values of c that work. The smaller one is
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)
function on this interval.
=
The smaller one is
and the larger one is
2x³ – 3x on the interval [ — 5, 5]. Find the average or mean slope of the
By the Mean Value Theorem, we know there exists at least one c in the open interval ( – 5, 5) such that
f'(c) is equal to this mean slope.
For this problem, there are two values of c that work.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F20bcd63b-83d7-46f1-8dda-4948c111e68b%2F186d492b-c539-484c-aa85-ec332652c80b%2Fv0a7ys5_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the function f(x)
function on this interval.
=
The smaller one is
and the larger one is
2x³ – 3x on the interval [ — 5, 5]. Find the average or mean slope of the
By the Mean Value Theorem, we know there exists at least one c in the open interval ( – 5, 5) such that
f'(c) is equal to this mean slope.
For this problem, there are two values of c that work.
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