Question: Consider the function f ( x ) = ( x ) / ( x ^ ( 2 ) + 1 ) Determining any critical points,

Consider the function
f(x)=(x)/(x^(2)+1)
Determining any critical points, intervals of increase/decrease and justifying whether the extrema are local maxs/mins
using either the First Derivative Test or the Second Derivative Test. Also determining any points of inflection and
intervals of concavity.
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Consider the function f ( x ) = ( x ) / ( x ^ ( 2

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