The U.S. consumption of copper (in thousands of metric tons) is given approximately by P(t) = 29t2

Question:

The U.S. consumption of copper (in thousands of metric tons) is given approximately by
P(t) = 29t2 - 258t + 4,658
where t is time in years and t = 0 corresponds to 2005.
(A) Use the four-step process to find p'(t).
(B) Find the annual production in 2017 and the instantaneous rate of change of production in 2017, and write a brief verbal interpretation of these results.