The slope of the tangent line to the graph of $y = 2x^{3}$ at the point $(3 , 54)$ is $$\lim _ {x \to 3} \frac {2x^{3} - 54}{x - 3}.$$ By trying values of $x$ near $3,$ estimate the slope of the tangent line.

The slope of the tangent line is (roughly) .