Consider the function f(x) = 2x³ slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open interval ( – 4, 9) 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 12x² 30x + 9 on the interval [- 4, 9]. Find the average or mea and the larger one is
Consider the function f(x) = 2x³ slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open interval ( – 4, 9) 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 12x² 30x + 9 on the interval [- 4, 9]. Find the average or mea and the larger 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) 2x³
slope of the function on this interval.
The smaller one is
=
and the larger one is
12x²
-
By the Mean Value Theorem, we know there exists a c in the open interval ( – 4, 9) such that f'(c) is
equal to this mean slope. For this problem, there are two values of c that work.
30x + 9 on the interval [ – 4, 9]. Find the average or mean](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F20bcd63b-83d7-46f1-8dda-4948c111e68b%2F1411608a-9722-4ef0-8433-63f0ad93407c%2Fdxo5mcj_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the function f(x) 2x³
slope of the function on this interval.
The smaller one is
=
and the larger one is
12x²
-
By the Mean Value Theorem, we know there exists a c in the open interval ( – 4, 9) such that f'(c) is
equal to this mean slope. For this problem, there are two values of c that work.
30x + 9 on the interval [ – 4, 9]. Find the average or mean
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