Ok so first I know that we have to take the derivative which is And What would I do from then?
There are numerical errors in your derivative. After you have fixed them you should simplify the result, substitute it into the arclength formula (which I assume you have been taught) and then do the resulting integration.
There are numerical errors in your derivative. After you have fixed them you should simplify the result, substitute it into the arclength formula (which I assume you have been taught) and then do the resulting integration.
Once you have made the necessary correction, the thing you are square rooting will simplify to $\displaystyle \left(\frac{x^2 + 16}{x^2 - 16}\right)^2$.
Once you have made the necessary correction, the thing you are square rooting will simplify to $\displaystyle \left(\frac{x^2 + 16}{x^2 - 16}\right)^2$.
So this was what I got so far but I don't seem sure if this is correct