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

Find the derivative of Tan ^(-1) (( sqrt (1 + x ) - sqrt ( 1 -x ))/( sqrt (1+ x ) + sqrt (1 -x ))) w.r.t. x

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

-int(1)/(sqrt(1-x)+sqrt(1+x))(-(1)/(2sqrt(1-x))+(1)/(2sqrt(1+x)))xdx

Prove that : tan^-1[(sqrt(1+x) - sqrt(1-x))/(sqrt1+x + sqrt1-x)] = pi/4 - 1/2cos^-1x

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)))