Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Consider the function f(x) = 2x
- 6, 10. Find the average or mean slope of the function on this
interval.
3D2x'
9x 60x + 10 on the interval
By the Mean Value Theorem, we know there exists a c in the open
interval (- 6, 10) such that "(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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Transcribed Image Text:Consider the function f(x) = 2x - 6, 10. Find the average or mean slope of the function on this interval. 3D2x' 9x 60x + 10 on the interval By the Mean Value Theorem, we know there exists a c in the open interval (- 6, 10) such that "(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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Mean value theorem

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