if `y=x^{(lnx)^(ln(lnx))}` then `(dy)/(dx)`

y=e^(x)lnx

If y=(lnx)/(x) "then" (dy)/(dx) will be:

If y=(lnx)/(x) "then" (dy)/(dx) will be:

If y=x lnx then (dy)/(dx) will be:

f(x)=x^(2)+lnx

If y=x lnx "then" (dy)/(dx) will be:

If y=acos(lnx)+bsin(lnx) then prove that x^2y_3+3x y_2+2y_1=0

If f(x)=log_x(lnx) then f'(x) at x=e is

If f(x)=log_x(lnx) then f'(x) at x=e is

If x,y(x!=1) satisfy both the equation 2^(lnx) = 3^(lny) and (ln^2 x) = (ln^3y). The value of the expression sqrt(lny)+3sqrt(lnx) can be expressed as log_b a (where a, b in N). Then find the smallest value of |a-b|.