Derivative of a Tangent Function at a Point

What is the value of the derivative of $\tan\!\left(2x - \dfrac{\pi}{6}\right)$ evaluated at $x = \dfrac{5\pi}{3}$? The answer is in the form $\frac{\alpha}{\beta}$ where $\alpha$ and $\beta$ are coprime positive integers. Input the value of $\alpha + \beta$.