Differentiate `(log_e x)^(log_e x), x gt 1` with respect to `x.`

Differentiate w.r.t x: log_(7)(log x)

Differentiate log_(3)x-3log_(e)x+2tan x

Differentiate x^(100)+log_(x)10 is

(iv)The differentiation of log_e x;xgt0 is 1/x (v) The differentiation of log_a x (agt0;a!=1) with respect to x is 1/(xlog_e a)

The differentiation of (log)_a x (a >0) with respect to x i.e. d/(dx)((log)_a x)= 1/(x(log)_e a)

Differentiate (e^(x)log x)/(x^(2)) with respect to x:

Differentiate (log_(e)x)cos x with respect to x.