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sin^(-1)'(1)/(sqrt(x+1))...

`sin^(-1)'(1)/(sqrt(x+1))`

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Let `y = sin^(-1)'(1)/(sqrt(x+1))`
`:. (dy)/(dx) = d/dx sin^(-1)'(1)/(sqrt(x+1))`
`= (1)/(sqrt(1-((1)/(sqrt(x+1)))^(2))).(d)/(dx) (1)/((x+1)^(1//2)), [:' (d)/(dx) (sin^(-1)x) = (1)/(sqrt(1-x^(2)))]`
`= (1)/(sqrt((x+1-1)/(x+1))).(d)/(dx).(x+1)^(-1//2)`
` = sqrt((x+1)/(x)).(-1)/(2)(x+1)^(-(1)/(2)-1).(d)/(dx)(x+1)`
`= ((x+1)^(1//2))/(x^(1//2)) = (-(1)/(2))(x+1)^(-3//2)= (-1)/(2sqrt(x)).((1)/(x+1))`.
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