Consider the function f(x) = 3x 3x on the interval 4, 4. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists at least one c in the open interval (– 4, 4) 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
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Consider the function f(x) = 3x
3x on the interval
4, 4|. Find the average or mean slope of the
%3D
function on this interval.
By the Mean Value Theorem, we know there exists at least one c in the open interval (– 4, 4) 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
Transcribed Image Text:Consider the function f(x) = 3x 3x on the interval 4, 4|. Find the average or mean slope of the %3D function on this interval. By the Mean Value Theorem, we know there exists at least one c in the open interval (– 4, 4) 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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