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If f(x)=2x-tan^(-1) x-log (x+sqrt(x^(2)+...

If `f(x)=2x-tan^(-1) x-log (x+sqrt(x^(2)+1))`, then show that `f(x)` steadily increases as x increases from zero to positive infinity and hence deduce that,
`2x gt tan^(-1) x+log (x+sqrt(x^(2)+1))`

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