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For which values of x , the function f(x...

For which values of `x ,` the function `f(x)=x/(x^2+1)` is increasing and for which value of `x ,` it is decreasing.

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Given,
`f(x)=x/(x^2+1)`
`f^'(x)=((x^2+1)d/(dx)x-xd/(dx)(x^2+1))/(x^2+1)^2`
`f^'(x)=((x^2+1)-x(2x))/(x^2+1)^2`
`f^'(x)=(x^2+1-2x^2)/(x^2+1)^2`
...
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