" (iii) "sqrt(an^(-1))(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))

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

The derivative of tan^(-1)((sqrt(1 + x)-sqrt(1-x))/(sqrt(1 + x)+sqrt(1-x))) is

Write the simplest form : tan^(-1)( (sqrt(1+x)-sqrt(1-x))/(sqrt(1+x) + sqrt(1-x))); (-1)/sqrt(2) le x le 1

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))

Differentiate tan^(-1) ((sqrt(1 + x) - sqrt(1 - x))/(sqrt(1 + x) + sqrt(1 - x))) w.r.t. x .

Prove That : tan^(-1)((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)))=(pi)/4-1/2cos^(-1)x =1/(sqrt(2))ltxle1