` tan^(-1) [(sqrt(1+x^(2)) -1)/x]` का x के सापेक्ष अवकल गुणांक ज्ञात कीजिए ।

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

tan[(sqrt(1+x^(2))-1)/x] =

tan[2Tan^(-1)((sqrt(1+x^(2))-1)/x)]=

If: tan^(-1) ((sqrt(1 + x^2)-1)/(x)) = 4 then : x =

Prove that tan^(-1)((sqrt(1+x^2)-1)/x)=1/2 tan^(-1)x .

Find the derivative of tan^(-1) "" (sqrt(1 + x^(2)) - 1)/( x) with respect to tan^(-1) ( 2 x sqrt( 1 - x^(2)))/(1 - 2 x ^(2)) at x = 0

d/dx{Tan ^(-1) (( sqrt ( 1 + x ^(2)) - sqrt (1 - x ^(2)))/( sqrt (1 + x ^(2)) + sqrt (1 - x ^(2))))} =