Let f and g be the functions defined by f(t) = 2t² and g(t) = t³ + 4t. Determine f'(t) and g'(t).
f'(t) =
g'(t) =
Let p(t) = 2t²(t³ + 4t) and observe that p(t) = f(t)*g(t). Rewrite the formula for p(t) using the product rule.