If  `y=(sqrt(x))^((sqrt(x))^((sqrt(x))^(...oo)`,  show that, `x (dy)/(dx)=(y^(2))/(2-y log x).`
Channel: Doubtnut
Date: 09/05/2020

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