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

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

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

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

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

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

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

If y=cos^(-1)((2x)/(1+x^(2))), then (dy)/(dx)is(a)(-2)/(1+x^(2)) for all x(b)(-2)/(1+x^(2)) for all |x| 1(d) none of these

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

If y= sin ^(-1) ((x)/(1+ sqrt(1- x ^(2)))), |x|le 1, then (dy)/(dx) at ((1)/(2)) is: