Use part one of the Fundamental Theorem of Calculus to find the derivative of the function (g(s) = int₀ˢ t(t - t²)³ ,dt).
a) (g'(s) = s(t - t²)³)
b) (g'(s) = (t - t²)³)
c) (g'(s) = t(t - t²)³)
d) (g'(s) = 4s(t - t²)²)