Consider the following function. F{x) = x3/2 Find its average rate of change over the interval [4, 9]. Ay Ax Compare this rate with the instantaneous rates of change at the endpoints of the interval. f'(4) = f"(9) =

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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f(x)=x^3/2

Find it's average rate of change over the interval [4,9].

 

Consider the following function.
(x) = x3/2
Find its average rate of change over the interval [4, 9].
Ay
Ax
Compare this rate with the instantaneous rates of change at the endpoints of the interval.
f'(4)
f'(9)
Transcribed Image Text:Consider the following function. (x) = x3/2 Find its average rate of change over the interval [4, 9]. Ay Ax Compare this rate with the instantaneous rates of change at the endpoints of the interval. f'(4) f'(9)
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