Prompt: The derivative off (t) is given 1\" (t) = t3 6t2 + St for 0 S t S 5. A. Graph f' (t), and describe how the function f (t)changes over the interval t = O to t = 5. B. When is f (t) increasing and when is it decreasing? C. Where does f (t) have a local maximum and where does it have a local minimum