" (18) If "y=tan^(-1)[(log(ex))/(log(e/x))]," then "(dy)/(dx)" at "x=e" is "

If y=e^(log_(e)x)," then "(dy)/(dx)=

If x ^(y) = log x then (dy)/(dx) at x =e is

If y=log _(e^(x) ) (log x ),then (dy)/(dx)

If y=tan ^(-1) ((log ( (e)/( x^(3))) )/( log ( ex^(3)) ) ),then (dy)/(dx) =

If y=tan^(-1)[(log(e//x^(3)))/(log(ex^(3)))]+tan^(-1)[(log(e^(4)x^(3)))/(log(e//x^(12)))]," then "(d^(2)y)/(dx^(2))=

(d)/(dx)[tan^(-1)((log(ex))/(log(e//x)))]=(1)/(xf(x))," then "f(x)=

If y = e^(log x ) , then ( dy)/(dx)

If y= e^(log (log x )) ,then (dy)/(dx) =

If y = log (cos e^(x)), then (dy)/(dx) is: