" If "y=(sqrt(x))^((sqrt(x))^((sqrt(x)))cdots oo)" ,show that "(dy)/(dx)=(y^(2))/(x(2-y log x))

If y=(sqrt(x))^(sqrt(x))hat sim(((sqrt(x))dot oo)), show that (dy)/(dx)=(y^(2))/(x(2-y log x))

If y=(sqrt(x))^((sqrt(x))^((sqrt(x))^(...oo) , show that, x (dy)/(dx)=(y^(2))/(2-y log x).

If y=(sqrt(x))^((sqrt(x))^((sqrt(x))^(...oo) , show that, x (dy)/(dx)=(y^(2))/(2-y log x).

If y=(sqrt(x))^(sqrt(x)^(sqrt(x))...oo), show that (dy)/(dx)=(y^(2))/(x(2-y log x))

If y=sqrt(x)^(sqrt(x)^(sqrt(x)^dotoo)) , show that (dy)/(dx)=(y^2)/(x(2-ylogx)) .

If y=(sqrt(x))^sqrt(x)^sqrt(x)^(dot)^(((oo))),s howt h a t(dy)/(dx)=(y^2)/(x(2-ylogx)

If y=sqrt(x)^(sqrt(x)^(sqrtx...oo)) then prove that dy/dx=(y^2)/(x(2-y log x )).

If (sqrt(x))^((sqrt(x))^((sqrt(x))^(...oo))) and x(dy)/(dx) =(f(y))/( 2-y log x) , then the value of f(y) is -

If y=sqrt(x+sqrt(x+sqrt(x+\ dotto\ oo))) , prove that (dy)/(dx)=1/(2\ y-1)

If sqrt(y+x)+sqrt(y-x)=c ,show that (dy)/(dx)=y/x-sqrt((y^2)/(x^2)-1.)