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Find the range of f(x)=(log)e x-((log)e ...

Find the range of `f(x)=(log)_e x-((log)_e x)^2/(|(log)_e x|)`

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The differential coefficient of f((log)_e x) with respect to x , where f(x)=(log)_e x , is (a) x/((log)_e x) (b) 1/x(log)_e x (c) 1/(x(log)_e x) (d) none of these

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Find the area bounded by y=-(log)_e x , y=(log)_e x ,y=(log)_e(-x),a n dy=-(log)_e(-x)dot