document.write( "Question 1031665: please help me with this problem:
\n" ); document.write( "Differentiate: y = $\"ln%28x%5E2+%2B+1%29+%2B+%28x+%2B+1%29%2F%28e%5Ex+%2B+1%29\"$ \n" ); document.write( "

Algebra.Com's Answer #646352 by rothauserc(4718) $\"\"$ $\"About$

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derivative of ln((x^2)+1) = 2x / (x^2+1)
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\n" ); document.write( "use definition of derivative of log
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\n" ); document.write( "derivative of (x+1) / ((e^x)+1) = ((x+1) / ((e^x)+1)^2) - (x / ((e^x)+1))
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\n" ); document.write( "use definition of derivative of a quotient
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\n" ); document.write( "put them together and we have
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\n" ); document.write( "y' = (2x / (x^2+1)) + ((x+1) / ((e^x)+1)^2) - (x / ((e^x)+1))
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\n" ); document.write( "no assumption on x being < 0 or > 0
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