dy tan^(-1){x+sqrt(1+x^(2))}quad x in R

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

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

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

f(x)=2x-tan^(-1)x-ln(x+sqrt(1+x^(2)));x in R then

Let f(x)=2x-tan^-1 x- ln(x+sqrt(1+x^2)); x in R, then

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