" (10)in "tan'(sqrt(1+x^(2))-1,x!=0)/(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

Write the following in the simplest form: "tan"^(-1)(sqrt(1+x^(2))-1)/x,x!=0

Write the following function in the simplest form : "tan"^(-1)(sqrt(1+x^(2))-1)/x, x!=0

Write the following function in the simplest form : "tan"^(-1)(sqrt(1+x^(2))-1)/x, x!=0

Find (dy)/(dx) if y=tan^(-1)((sqrt(1+x^(2)-1))/(x)), where x!=0

Write the function tan^(-1)((sqrt(1+x^(2))-1)/x)x ne 0 , in the simplest form.

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