If `y=sqrt(logx+sqrt(logx+sqrt(logx+oo))),t h e n(dy)/(dx)i s` (a)`x/(2y-1)` (b) `x/(2y+1)` (c)`1/(x(2y-1))` (d) `1/(x(1-2y))`

If y=sqrt(log{sin((x^2)/3-1)}) , t h e n find (dy)/(dx)dot

Let y=sqrt(x+sqrt(x+sqrt(x+oo))) , (dy)/(dx) is equal to (a) 1/(2y-1) (b) x/(x+2y) (c) 1/(sqrt(1+4x) (d) y/(2x+y)

If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+...... tooo))),p rov et h a t(dy)/(dx)=(cosx)/(2y-1)

Solve (dy)/(dx)=sqrt(4x+2y-1)

If y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+oo)))),t h e np rov et h a t(dy)/(dx)=(y^2-x)/(2y^3-2x y-1)

If sqrt(x) + sqrt(y)=4,then (dx)/(dy)at y=1.

Solve (dy)/(dx) sqrt(1+x+y) =x+y-1

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

If y=x^((logx)^("log"(logdotx))),t h e n(dy)/(dx)i s (a) y/x(1n x^(oox-1))+21 nx1n(1nx)) (b) y/x(logx)^("log"(logx))(2log(logx)+1) (c) y/(x1nx)[(1nx)^2+21 n(1nx)] (d) y/x(logy)/(logx)[2log(logx)+1]