If `y=sec^(-1)((x+1)/(x-1))+sin^(-1)((x-1)/(x+1))`, then find `(dy)/(dx)`.

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

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

If y=sin^(-1)(x^3) , then find that dy/dx

If y=sec^(-1)((x^(2)+1)/(x^(2)-1)) , then find (dy)/(dx) . Here f^(-1)(x) expression is of the form (x^(2)+a^(2))/(x^(2)-a^(2)) , so we substitute x=tan theta and then use suitable trigonometrical formula to write it in simplest form and then differentiate

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

If y = tan^(-1)sqrt(1+x^2) then find (dy)/(dx) .