If ` y = ( sin x)/(1 + ( cos x)/(1 + (sin x)/(1 + cos x . . . . )))` then find ` ( dy)/( dx)`

If y= tan ^(-1) ((a cos x- b sin x )/(b cos x + a sin x ) ) , then (dy)/(dx) is :

Find the derivative of (sin x + cos x)/( sin x - cos x )

If y = sqrt( sin x + sqrt( sin x + sqrt( sin x + . . . . t o oo))) , prove that ( dy)/( dx) = ( cos x)/( 2 y - 1)

Solutions of the differential equations (dy)/(dx) + (y)/(x) = sin x is : a) x(y+cos x ) = sin x+ c b) x(y-cos x ) = sin x+c c) x( y cos x ) = sin x +c d) x(y-cos x) = cos x+ c

Find the derivative of (cos x)/(1+sin x)

(dy)/(dx)=(1-cos x)/(1+cos x)

If y=sin^(-1)(cosx)+cos^(-1)(sinx) , then find dy/dx .