The real valued function $f(x)=\frac{x^2}{2}-\log \left(x^2+x+1\right)$ is

• A

  Strictly decreasing in $(1, \infty)$
• Correct answer
  B

  Strictly increasing in $(1, \infty)$
• C

  Strictly increasing in $(-\infty, 0)$
• D

  Strictly decreasing in $(0, \infty)$

Hence, the correct answer is option: 'B'.