Derivatives of Sums, Differences, and Constant Multiples

$p_1(x) = -\frac{2}{3}x^3 + 2x^2 - 2x + \frac{2}{3}$

$p_2(x) = -\frac{2}{3}x^3 - 2x^2 - 2x + \frac{2}{3}$

$p_3(x) = -2x^3 + 6x^2 - 6x + 2$

$p_4(x) = x$

$p_5(x) = -x^3 + 3x^2 - 3x + 1$