If `y=tan^(-1)((cos x+sin x)/(cos x-sin x))` find `(dy)/(dx)`

y=tan^(-1)(cos x/(1+sin x))

tan^(-1) ((1-cos x)/(sin x))

If y = (cos x - sin x)/( cos x + sin x ) , "then " (dy)/(dx)

If y=x^(sin x), then find (dy)/(dx)

If 2y=(cot^(-1)((sqrt3 cos x + sin x)/(cos x - sqrt3 sin x)))^(2) , x in (0, pi/2) " then " (dy)/(dx) is equal to

y=(x+sin x)/(x+cos x) , fi nd dy/dx

If (cos"x")^y=(sin y)^x , find (dy)/(dx)

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

If y = sqrt((cos x - sin x)(sec 2x + 1)(cos x + sin x)) , Then (dy)/(dx) at x = (5 pi)/(6) is :

If y = sqrt((cos x - sin x)(sec 2x + 1)(cos x + sin x)) , Then (dy)/(dx) at x = (5 pi)/(6) is :