1. The problem statement, all variables and given/known data Find the absolute maximum for f(t) = -t^3 + 3t^2 + 400t + 5000, t is between 6 and 20. 2. Relevant equations f'(t) = -3t^2 + 6t + 400 3. The attempt at a solution I know how to find this - when the function can be perfectly factored. Yet some problems occur here. f'(t) = -3t^2 + 6t + 400 I normally factor to find minimum, but 400 divided by -3 = -133.33333~, meaning the answer will be approximate (technically) if I do that... Now the second derivative will come to something really easy, 6t+6... Can absolute maximums be found with the second derivative? If not, how can it be found here?