" Q.5."tan^(-1)((sqrt(1+x^(2))-1)/(x)),x!=0

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

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

Differentiate the following functions with respect to x:tan^(-1){sqrt(1+x^(2))-x},x in R (ii) tan^(-1){(sqrt(1+x^(2))-1)/(x)},x!=0

Write each of the following in the simplest form: tan^(-1){sqrt(1+x^(2))-x},x in R (ii) tan^(-1){(sqrt(1+x^(2))-1)/(x)},x!=0

Differentiate the functions with respect to x : tan^(-1){(sqrt(1+a^2x^2)-1)/(a x)},x!=0

tan[(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)) w.r.t tan^(-1)x , where x ne 0

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