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

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

f(x)=2x-tan^(-1)x-log|x+sqrt(1+x^(2))| is ……….. (x in R)

Differentiate tan^(-1) frac{ sqrt (1+ x^2 ) - 1}{x} w. r. t. tan^(-1)

Differentiate tan^(-1) frac{ sqrt (1+ x^2 ) - 1}{x} w. r. t. tan^(-1)

Differentiate tan^(-1) frac{ sqrt (1+ x^2 ) - 1}{x} w. r. t. cos^(-1) ( sqrt ( frac{1+ sqrt (1+ x^2 ) }{2 sqrt (1+ x^2 ) } ) )