`y=sqrt(a^(3x+1)+sqrt(a^(3x+1)+sqrt(a^(3x+1))+......oo)`, then `(dy)/(dx)=`

y =sqrt(a^(x)+sqrt(a^(x)+sqrt(a^(x)+ --oo))) then (dy)/(dx)=

y=sqrt(a^(x)+sqrt(a^(x)+sqrt(a^(x)+----oo))) then (dy)/(dx) =

If y= (1)/(sqrt( 3x+ 7) )- (1)/(sqrt(7-3x) ),then (dy)/(dx) =

IF y=sqrt(x sqrt((x^(2))(sqrt(x^(3)))))dots...oo then ((dy)/(dx))atx=2 equals

If y=sqrt(3^(x)+sqrt(3^(x)+sqrt(3^(x)+..."to "oo)))," prove that ":(2y-1)dy/dx=3^(x)log3 .

If y=sqrt(x+sqrt(x+sqrt(x.." to "oo)))," then "(dy)/(dx)=

sqrt(y-sqrt(y-sqrt(y-......till oo)))=sqrt(x+sqrt(x+sqrt(x+......til_(oo)))) then (dy)/(dx)=

If y=tan^(-1){(sqrt(1+x^(3))-sqrt(1-x^(3)))/(sqrt(1+x^(3))+sqrt(1-x^(3)))} , then (dy)/(dx)=(kx^(2))/(sqrt(1-x^(6))) ,where k is equal to