" (f)."tan^(-1)(sqrt(1+x^(2))-1)/(x)

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

Let f(x)=tan^(-1)((sqrt(1+x^(2))-1)/(x)) then which of the following is correct :

Let f(x)=tan^(-1)((sqrt(1+x^(2))-1)/(x)) then which of the following is correct :

Let f(x)=tan^(-1)((sqrt(1+x^(2))-1)/(x)) then which of the following is correct :

Consider,f(x)=tan^(-1)((sqrt(1+x^(2))-1)/(x)) and g(x)=cos ec^(-1)((sqrt(1+x^(2)))/(x),x!=0 The number of solution of the equation x^(2)=|f(x)-g(x)|

Differentiate tan^(-1) ((sqrt(1+x^(2))-1)/(x)) w.r.t. tan^(-1) ((x)/(sqrt(1-x^(2)))) .

Find the derivative of f (x) w.r.t. g(x) for the f (x) = Tan ^(-1) ((sqrt (1 + x ^(2)) -1)/( x )), g (x) = Tan ^(-1) x

tan[2Tan^(-1)((sqrt(1+x^(2))-1)/x)]=

int_( then )^( If )(x tan^(-1)x)/(sqrt(1+x^(2)))dx=sqrt(1+x^(2))f(x)+A ln|x+sqrt(x^(2)+1)|+c