Struggling with the 2nd Derivative of f(x)=x/x^2+1?

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f(x)=x/x^2+1
f'(x)= 1-x^2/(x^2+1)^2
But then I can't seem to work through taking the 2nd derivative, perhaps I am not using the chain rule right.
I get -4x^5-2x^3-2x/(x^2+1)^4
But that's not right... please help!
 
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You double-posted, probably by accident. But let's stay in one thread.
 

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