If `sin^(-1)((x^2-y^2)/(x^2+y^2))=k` , then `dy/dx=`

If sin^(-1)((x^2-y^2)/(x^2+y^2)) = tan^(-1)a, then the value of dy/dx is (i)x/y (ii)-x/y (iii)y/x (iv) -y/x

If sin^(-1)((x^(2)-y^(2))/(x^(2)+y^(2)))=loga then (dy)/(dx) equals

if sin^(-1)((x^(2)-y^(2))/(x^(2)+y^(2)))=c prove that (dy)/(dx)=(y)/(x)

If y=sin ^(-1)((x)/( sqrt(x^(2) +a^(2)))) ,then (dy)/(dx)=

If y =sin ^(-1) sqrt((1+x^(2))/( 2) ),then (dy)/(dx) =

If y=3x^(3)sin^(-1)x+(x^(2)+2)sqrt(1-x^(2)), then (dy)/(dx)=

If y=(sin^(-1)x)/(cos^(-1)x)," then "(dy)/(dx)=(k)/((cos^(-1)x)^(2)sqrt(1-x^(2)))," where "k=

If sin (xy) + (x)/(y) =x^(2) - y , " then " (dy)/(dx) is equal to

If y=sin^(-1)(2^(x)),"then "dy/dx=