Yesterday in my calc class I possed a derivative problem to my professor who spent 40 mins on the problem... burned all class and didnt come up with an answer so I ask you if you know.

y=sqrt(x+sqrt(x+sqrt(x)))

written differently y=(x+(x+(x)^(1/2))^(1/2))^(1/2)

Please find the derivative. or atleast explain how so i may attempt and show prof.