" 47.If "y=sin^(-1)((2x)/(1+x^(2)))+sec^(-1)((1+x^(2))/(1-x^(2)))," show that "(dy)/(dx)=(4)/((1+x^(2)))

If y=sin^(-1)((2x)/(1+x^(2)))+sec^(-1)((1+x^(2))/(1-x^(2))),0

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

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=sin^(-1)((2x)/(1+x^2))+sec^(-1)((1+x^2)/(1-x^2)),-1 Prove that (dy)/(dx)=4/(1+x^2)

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

If y=sin^(-1)((2x)/(1+x^2))+sec^(-1)((1+x^2)/(1-x^2)), 0

If y=sin^(-1)((2x)/(1+x^2))+sec^(-1)((1+x^2)/(1-x^2)),0ltxlt1, prove that (dy)/ (dx)="4/(1+x^2)

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