" 23."tan^(-1)sqrt((1-x)/(1+x))

Differentiate tan^(-1)x/(1+sqrt((1-x^2))) +{2tan^(-1)sqrt(((1-x)/(1+x)))}sinwdotrdottdotxdot

If y = tan^(-1) {(x)/(1 + sqrt(1 - x^(2)))} + sin { 2 tan^(-1) sqrt((1 - x)/(1 + x))}, "then" (dy)/(dx) =

Differentiate tan^(-1)(x/(1+sqrt((1-x^2)))) +{2tan^(-1)sqrt(((1-x)/(1+x)))}sinwdotrdottdotxdot

tan^(-1)((sqrt(x))/(1+20x))

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

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

tan^(-1)(x+sqrt(1+x^(2)))=