What is the differential coefficient of `log_(x)x`?

The differential coefficient of x|x| is

Differential coefficient of log(tan((x)/(2)))

Find the differential coefficient of log x^(x) with respect to 'x'.

Find the differential coefficient of log x^(x) with respect to 'x'.

The differential coefficient of f(log_(e)x)w*r.t.x, where f(x)=log_(e)x, is (i) (x)/(ln x)( ii) (ln x)/(x)( iii) (1)/(x ln x)( iv )x ln x

The differential coefficient of log_(10)x with respect to log_(x)10 is