" (iii) "sec^(-1)((x^(2)+1)/(x^(2)-1))

sec^(-1)((1+x^(2))/(1-x^(2)))

If y = sec^(-1) ((x^(2) + 1)/(x^(2) -1)) " then " (dy)/(dx) = ?

Find (dy)/(dx) in the following: y= sec^(-1) ((x^(2) + 1)/(x^(2)-1))

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