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sqrt((1+x)/(1-x))...

sqrt((1+x)/(1-x))

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If x=sqrt3/2 then sqrt(1+x)/(1+sqrt(1+x))+sqrt(1-x)/(1-sqrt(1-x))=

tan^(-1)((sqrt(1+x)+sqrt(1-x))/(sqrt(1+x)-sqrt(1-x)))

d/(dx){Cot^(-1)""(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))}

The differential coefficient of tan^(-1)((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)))

The differential coefficient of tan^(- 1)((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)))

Solve : (sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))

Rationalise: (sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))