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

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

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

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

If y=tan^(-1)((2x)/(1-x^2))+sec^(-1)((1+x^2)/(1-x^2)) , x >0 , prove that (dy)/(dx)=4/(1+x^2) .

If y= "tan"^(-1) (4x)/(1+5x^(2)) + "tan"^(-1) (2 + 3x)/(3-2x) , then prove that (dy)/(dx)= (5)/(1+25x^(2))

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

If tan^(-1)((x^2-y^2)/(x^2+y^2))=a , prove that (dy)/(dx)=x/y((1-tana))/((1+tana)) .

If y = tan^(-1) ((2x)/(1-x^(2))) then dy/dx =

If y=tan^(-1)((2y)/(1-x^(2)))+sec^(-1)((1+x^(2))/(1-x^(2)))x>0, prove that (dy)/(dx)=(4)/(1+x^(2))

If y="tan"^(-1)(4x)/(1+5x^(2))+"tan"^(-1)(2+3x)/(3-2x) , prove that, (dy)/(dx)=(5)/(1+25x^(2))