A Youtube short video is getting viral according to $f(t) = -2t^3 + 3t^2 + 5$. At what time does the video get maximum number of shares? (t is in hours)
Show Hint
For simple polynomial optimization, finding the roots of the first derivative usually points directly to the answer. Always perform a quick mental check of the second derivative (or the sign change of the first derivative) to ensure you've found a maximum and not a minimum.