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

If f(x)=2x-tan^(-1) x-log (x+sqrt(x^(2)+1)) , then show that f(x) steadily increases as x increases from zero to positive infinity and hence deduce that, 2x gt tan^(-1) x+log (x+sqrt(x^(2)+1))

f(x)=2x+cot^(-1)x+log (sqrt(1+x^(2))-x)

Let f(x) = sin(log_(3)(x+sqrt(x^(2)+1))), x in R , then

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

f(x)=2x-tan^(-1)x-log(x+sqrt(1+x^(2)))(x>0) is increasing in

Show that f(x) = 2x+Cot^-1 x +log(sqrt(1+x^2)-x) is increasing in R.

f(x)=2x-Tan^(-1)x-log(x+sqrt(1+x^(2))(xgt0) is increasing in

If f(x)=2x+cos^(-1) x+log (sqrt(1+x^(2))-x) , then f(x) is-

If f(x)=2 x cot ^(-1)x + log (sqrt(1+x^2)-x then f(x)