If `y=sqrt(cosx+sqrt(cosx+sqrt(cosx+...oo)))`, prove that`(dy)/(dx)=(-sinx)/((2y-1))`.

y= sqrt(sin x + sqrt(sin x + sqrt(sin x + …….oo))) then (dy)/(dx) =………

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

If y=sqrt(logx+sqrt(logx+sqrtlogx+......oo)), " then " dy/dx is

let y=sqrt(x+sqrt(x+sqrtx...oo))) then dy//dx equals

If x=sqrt(a^sin^((-1)t)), y=sqrt(a^cos^((-1)t)) , show that (dy)/(dx)=-y/x

If y=(sinx)/(1+(cosx)/(1+(sinx)/(1+(cosx)/(1+\ ddotto\ oo)))) , prove that (dy)/(dx)=((1+y)cosx+ysinx)/(1+2y+cosx-sinx)

If y= {x + sqrt(x^(2) + a^(2))}^(n) prove that (dy)/(dx)= (ny)/(sqrt(x^(2) + a^(2))). n gt 1 ne N

int(dx)/(sinx+sqrt(3)+cosx)=....

If sqrt(1-x^(2)) + sqrt(1 -y^(2))= a(x-y) , then prove that (dy)/(dx)= sqrt((1-y^(2))/(1-x^(2))) . (Where |x| le 1, |y| le 1 )