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I have to differentiate

[tex]Ln(x+\frac{1}{x})[/tex]

where I first differentiate Ln and than multiply by the differentiation of the inner function

[tex]1/(x+\frac{1}{x})*(1-\frac{1}{x^2}[/tex]

which I simplify to

[tex]\frac{x}{x^2+1}*(1-\frac{1}{x^2})[/tex]

[tex]\frac{x}{x^2+1}-\frac{1}{x*(x^2+1)}[/tex]

the problem is I cannot rewrite it to this

[tex]\frac{2*x}{x^2+1}-\frac{1}{x}[/tex]

how to rewrite it - any help or advise appreciated. Thanks in advance

Best

Jorgen

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# Homework Help: Differentiation of Ln(x+1/x)

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