Actually , you can extend it to all polynomials.
for a cubic equation with factors a,b,c
The second derivative = 2!(a + b + c)
for a biquadratic expression with factors a,b,c,d
The thirds derivative = 3!(a + b + c + d)
Similarly, for a n-nomial
the (n-1)th derivative = (n-1)!( a +...