4) Find the slope of the tangent to the curve$y = x ^3 - 3x +2$ at the point whose x-coordinate is 3.

$y = x ^3 - 3x +2$
$\left ( \frac{dy}{dx} \right )_{x=3} = 3x^2 - 3 = 3(3)^2 - 3= 3\times 9 - 3 = 27 - 3 = 24$