if `sinx=ysin(x+b)` show that `(dy)/(dx)=(sinb)/(sin^2(x+b))`

If sin x = y sin (x + b) , show that (dy)/(dx) = (sin b)/(sin^2 (x + b))

If sin y=x sin(a+y), then show that: (dy)/(dx)=(sin a)/(1-2x cos a+x^(2))

if cos(xy)=x, show that (dy)/(dx)=(-(1+ysin(xy)))/(xsinxy) .

y=e^(sin x)/sinx then (dy)/(dx)=

If sin^(2)x+cos^(2)y=1 , show that dy/dx=(sin2x)/(sin 2y)

Find (dy)/(dx) , when If y = (cos x + sinx)/(cos x - sinx) , show that (dy)/(dx) = sec^(2) (x + (pi)/(4)) .

If y=sqrt(sin x+sqrt(sinx+sqrt(sinx+…..oo))) show that (dy)/(dx) =(cos x )/(2y-1)

If xsin y+ysin x =0,then (dy)/(dx) =

(dy)/(dx)=ysin2x given, y(0)=1

If y=(sinx)^((sinx)^((sinx)^(....oo))) show that, (dy)/(dx)=(y^(2)cot x)/(1-ylog(sinx))