Consider the function f(x)=2x^3-9x^2-24x+4 on the interval [−5,8]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a cc in the open interval (−5,8)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: and the larger one is:
Consider the function f(x)=2x^3-9x^2-24x+4 on the interval [−5,8]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a cc in the open interval (−5,8)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: 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)=2x^3-9x^2-24x+4 on the interval [−5,8]. Find the average or mean slope of the function on this interval.
By the Mean Value Theorem, we know there exists a cc in the open interval (−5,8)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:
and the larger one is:
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