If $f\left(x\right)=x^3+3x+1$ and $g\left(x\right)$ is the inverse function of $f\left(x\right)$, then the value of $g^{\text{'}}\left(5\right)$ is equal to

• A

  $3$
• B

  $\frac{1}{3}$
• Correct answer
  C

  $\frac{1}{6}$
• D

  $6$

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