" ) "tan^(-1){x+sqrt(1+x^(2))},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

Differentiate tan^(-1){sqrt(1+x^(2))+x},x in R with respect to x:

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

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

Find the simplest value of f(x)=tan^(-1)((sqrt(1+x^(2))-1)/(x)),x in R-{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 each of the following w.r.t. x: (i) tan^(-1)(sqrt(1+x^(2))+x)" "(ii)tan^(-1)(sqrt(1+x^(2))-x)

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

Find the differential coefficient of : "tan"^(-1)(sqrt(1+x^(2))-1)/(x) " w.r.t. " tan^(-1)x

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