"If `f(x)=2x+cot^(-1)x+log(sqrt(1+x^2)-x)`  then `f(x)`    (a)increase in `(0,oo)`    (b)decrease in
Channel: Doubtnut
Date: 28/06/2020

"If `f(x)=2x+cot^(-1)x+log(sqrt(1+x^2)-x)`
 
 then `f(x)`
 
 
 
 (a)increase in `(0,oo)`
 
 
 
 (b)decrease in `[0,oo]`
 
 
 
 (c)neither increases nor decreases in `[0,oo]`
 
 
 
 (d)increase in `(-oo,oo)`"