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

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

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

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

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

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

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

f (x) =2x -tan ^(-1) x - ln (x+ sqrt(1+ x ^(2)))

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