the ans is 0...
bhaiya, itna fansane ki zarurat hai kya???????
differentiate with respect to x
sec^{-1}\frac{(x+1)}{(x-1)}+ sin^{-1}\frac{(x-1)}{(x+1)}
sec^{-1}\frac{(x+1)}{(x-1)}+ sin^{-1}\frac{(x-1)}{(x+1)}
=sec^{-1}(1+\frac{2}{(x-1)})+ sin^{-1}(1+\frac{2}{(x-1)})
Now can you try? :)