" 11."tan^(-1){(sqrt((1+x^(2)))-1)/(x)}

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

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

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))wrt sin^(-1)((2x)/(1+x^(2))) of x(-1,1)

The derivative of Tan ^(-1)"" (sqrt(1 + x ^(2))-1)/(x) w.r.t. Tan ^(-1) "" (2x sqrt(1-x ^(2)))/(1 - 2 x ^(2))at x =0 is

11Ify=tan^(-1)[(sqrt(1+a^(2)x^(2))-1)/(ax)],thenfind(dy)/(dx)

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

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