Find all values of x where the tangent line is horizontal for the function f (x) = x/x^2+5

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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Find all values of x where the tangent line is horizontal for the function f (x) = x/x^2+5

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why is it f'(x)=(x^2+5)(1)-x(2x)/(x^2+5)^2 

where did the (1) and 2x come from in the numerator? please explain

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