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If y=sec^(-1)((x+1)/(x-1))+sin^(-1)((x-1...

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

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Verified by Experts

`y=sec ^{-1}(frac{x+1}{x-1})+sin ^{-1}(frac{x-1}{x+1})`

We know that

`sec ^{-1}(t)=cos ^{-1}(frac{1}{t})`

and `cos ^{-1}(t)+sin ^{-1}(t)=frac{pi}{2}`

...
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