If `y=sec^(-1)((x+1)/(x-1))+sin^(-1)((x-1)/(x+1)),x > 0.` Find `(dy)/(dx)dot`

Explanation

$$ y=\sec ^{-1}\left(\frac{x+1}{x-1}\right)+\sin ^{-1}\left(\frac{x-1}{x+1}\right) $$
We know that
$$ \sec ^{-1}(t)=\cos ^{-1}\left(\frac{1}{t}\right) $$
and `\cos ^{-1}(t)+\sin ^{-1}(t)=\frac{\pi}{2}`
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