`If y=sqrt(tan x+sqrt(tan x +sqrt(tan x+....oo))) " then prove that " dy/dx = sec^2 x /(2y-1).`

If y=sqrt(sin x+sqrt(sin x +sqrt(sin x+....oo))) " then prove that " dy/dx = cos x /(2y-1).

If y=sqrt(tan x+sqrt(tan x+sqrt(tan x+...+oo))) then prove that (2y-1)(dy)/(dx)-sec^(2)x=0

If y=sqrt(log x+sqrt(log x +sqrt(log x+....oo))) " then prove that " dy/dx = 1/(x(2y-1)).

If y = sqrt(tan x + sqrt(tan x + sqrt(tan + ....oo))) then (dy)/(dx)=

y=sqrt(tan x+sqrt(tan x+sqrt(tan x+rarr oo))) prove that (dy)/(dx)=(sec^(2)x)/(2y-1)

y = sqrt(tan x + sqrt(tanx + sqrt(tanx + ...."to" oo))) prove that (2y - 1) (dy)/(dx) = sec^2 x .

If y=sqrt(cos x+sqrt(cos x+sqrt(cos x+......oo))) then prove that (dy)/(dx)=(sin x)/(1-2y)

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

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