`y=sqrt(x)^(sqrt(x)^(sqrt(x)....oo)`

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

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

Lt_(x->0 )(-1+sqrt(("tanx-sinx)+sqrt((tanx-sinx)+sqrt(..........)))oo)/(-1+sqrt(x^3+sqrt(x^3+sqrt(x^3+....)))oo

y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+...oo))), then prove that (dy)/(dx)=(y^(2)-x)/(2y^(3)-2xy-1))

If 0

If y=sqrt(x+sqrt(x+sqrt(x.." to "oo)))," then "(dy)/(dx)=

Differentiate w.r.t.x:y=sqrt(x+sqrt(x+sqrt(x+sqrt(x+.........oo))))

sqrt(y-sqrt(y-sqrt(y-......till oo)))=sqrt(x+sqrt(x+sqrt(x+......til_(oo)))) then (dy)/(dx)=