[sqrt(x)],[sqrt(x)],[" prove "(dy)/(dx)=(y^(2))/(x(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)^(sqrtx...oo)) then prove that dy/dx=(y^2)/(x(2-y log x )).

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

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=log(sqrt(x)+(1)/(sqrt(x))), prove that (dy)/(dx)=(x-1)/(2x(x+1))

If y=log(sqrt(x)+(1)/(sqrt(x))). Prove that (dy)/(dx)=(x-1)/(2x(x+1))

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=tan^(-1)((a)/(x))+log sqrt((x-a)/(x+a)), Prove that (dy)/(dx)=(2a^(3))/(x^(4)-a^(4))

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