`f(x) = x/(x^2 + 1)`
`f'(x) = [(x^2 +1) - 2x*x]/(x^2 +1)^2`
`or, f'(x) = (x^2 + 1 - 2x^2)/(x^2 + 1)^2`
`or, f'(x) = (1-x^2)/(1+x^2)^2`
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