One standard equation of an elliptic curve is $y^2 = x(x - a)(x - b)$, where $0 < a < b$.

Find the slope of the elliptic curve $y^2 = x \bigl( x - \frac{1}{3} \bigr) \bigl( x - \frac{1}{2} \bigr)$ at the point $\bigl( 1, -\frac{1}{3}\sqrt{3} \, \bigr)$.

The slope of the elliptic curve at the given point is .