If f(x) `=tan ^(-1)x-(1)/(2)log x`. Then -

if f(x) = tan^(1) x -(1//2) ln x. then

The greatest value of the function f(x)=tan^(-1)x-(1)/(2)log x in [(1)/(sqrt(3)),sqrt(3)] is

Find the range of f(X) = tan^(-1)x-(1)/(2)log_(e)x in ((1)/(sqrt(3)),sqrt(3))

Find the range of f(X) = tan^(-1)x-(1)/(2)log_(e)x in (1)/(sqrt(3)),(sqrt(3))

Find the range of f(X) =t tan^(-1)x-(1)/(2)log_(e)x in (1)/(sqrt(3)),(sqrt(3))

The greatest and least values of f(x)=tan^(-1)x -(1)/(2) ln x on [(1)/(sqrt(3)),sqrt(3)] are

Let f(x)=tan^(-1)x-(ln|x|)/(2),x!=0. Then f (x) is increasing in

2 tan ^(-1)x-log(1+x^(2))

If f(x)=tan^(-1)[(log((e )/(x^(2))))/(log (ex^(2)))]+tan^(-1)[(3+2 log x)/(1-6 log x)] then the value of f''(x) is