If `y="sin"^(-1)(a+b cosx)/(b+a cos x)`, find the simplified value of `(dy)/(dx)` .

If x=a(theta+sin theta) and y=a(1+cos theta) , then find the simplified value of (dy)/(dx) and show that, (dy)/(dx)=-1 , when theta=(pi)/(2) .

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

If y= sin^(-1) (cos 3x) , find dy/dx

If y = sin^(-1) (cosx ) then dy/dx =

If y = sqrt(1-cosx)/(1+ cos x) find (dy)/(dx)

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

If 2x + 3y = cosx then find the value of dy/dx

If y= tan^(-1)((a cos x-b sin x)/(b cos x+a sin x))" show that, " (dy)/(dx)= -1 .

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

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