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

Write each of the following in the simplest form: cot^(-1){(a)/(sqrt(x^(2)-a^(2)))},|x|>a (ii) 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

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 each of the following in the simplest form: cot^(-1){a/(sqrt(x^2-a^2))},\ \ |x|> a (ii) tan^(-1){x+sqrt(1+x^2)},\ \ x in R

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

Find the simplest value of f(x)=tan^(-1)((sqrt(1+x^(2))-1)/(x)),x in R-{0}

Simplify each of the following: tan^(-1)(x+sqrt(1+x^(2))),x in R

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)

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