You can put this solution on YOUR website! derivative of ln((x^2)+1) = 2x / (x^2+1)
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use definition of derivative of log
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derivative of (x+1) / ((e^x)+1) = ((x+1) / ((e^x)+1)^2) - (x / ((e^x)+1))
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use definition of derivative of a quotient
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put them together and we have
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y' = (2x / (x^2+1)) + ((x+1) / ((e^x)+1)^2) - (x / ((e^x)+1))
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no assumption on x being < 0 or > 0
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