Sometimes the second derivative test is harder to use, even if it applies. Use the first derivative test to find the local maxima and minima of f(x) = (x)/ (1+ x^2) and compare to the effort in finding the second derivative.

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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Sometimes the second derivative test is harder to use, even if it applies. Use the first derivative test to find the local maxima and minima of f(x) = (x)/ (1+ x^2) and compare to the effort in finding the second derivative.

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