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

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

If y=sin^(-1) x+cos^(-1) x,"then "dy/dx=

Find (dy)/(dx) , when : If y=((cos x - sin x))/((cos x + sin x)) , prove that (dy)/(dx)+y^(2)+1=0 .

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

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

If y=(sin^(-1)x-cos^(-1)x)/(sin^(-1)x+cos^(-1)x)," then "(dy)/(dx)=

If y = sin(2 cos^(-1)x) , then prove that (1 - x^2)(d^2y)/(dx) -x dy/dx + 4y = 0

if y = sqrt ((1 + sin x) / (1-sin x)), prove that cos x (dy) / (dx) = y

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