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

Differentiate tan^(-1)((sqrt(1+x^(2))-1)/(x)) w.r.t. tan^(-1)x.

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

Differentiate tan^(-1) ((sqrt(1+x^(2))-1)/(x)) w.r.t. tan^(-1) ((x)/(sqrt(1-x^(2)))) .

Differentiate tan^(-1)((sqrt(1+x^(2)-1))/(x)) with respect to tan^(-1)x,x!=0

the derivation of tan ^(-1)((sqrt(1+x^(2))-1)/(x)) with respect to tan^(-1)((2x sqrt(1-x^(2)))/(1-2x^(2)))

If y=tan^(-1)((sqrt(1+x^(2))-1)/(x)) and z=tan^(-1)((2x)/(1-x^(2))) , then (dy)/(dz) is equal to -

Derivative of tan ^(-1) ((sqrt( 1+x^(2))-1)/( x)) w.r.t. tan ^(-1) ((2x sqrt(1-x^(2)))/( 1-2x ^(2))) is