y=(log x)^(x)+(x)^(log x)

y = (log x) ^ ((log x) ^ (log x) .... oo)

Find (dy)/(dx) when y= (x^(log x)) ( log x)^(x), x gt 1

Find (dy)/(dx) when y= (x^(log x)) ( log x)^(x), x gt 1

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

Solve y=(ln x)^((ln x)^((ln x))cdots^(oo))

if y=(cos x)^(ln x)+(ln x)^(x) then find (dy)/(dx)

If x^(y)=y^(x) then (dy)/(dx)= ... (A) (y(x log y-y))/(x(y log x-x)) (B) (y(y log x-x))/(x(x log y-y)) (C) (y^(2)(1-log x))/(x^(2)(1-log y)) (D) (y(1-log x))/(x(1-log y))

Solve the following linear differential equation (dy)/(dx)+(y)/(x log x)=(sin 2x)/(log x)