Question

If $f\left(x\right)=\frac{2}{\sqrt{3}}{\tan }^{-1}\left(\frac{2x+1}{\sqrt{3}}\right)-ln(x^2+x+1)+(k^2-5k+3)x+10$ is a decreasing function for all $x\in R$, then possible value of k is?

• A. $\frac{3}{4}$
• B. $2$
• C. $3$
• D. $\frac{7}{2}$

Answer 1

Answer: (B), (C), (D)

The correct options are
B $2$
C $3$
D $\frac{7}{2}$