Solve the Problem $$P(x)=x^{3}-24 x^{2}+144 x$$ Where $x$ Is Time in Years from the Date of the First

Multiple Choice

Solve the problem.
-Suppose that the change in pressure of the oil in a reservoir can be approximated by:
$$P(x) =x^{3}-24 x^{2}+144 x$$
Where $x$ is time in years from the date of the first reading. This function is valid for $0 \leq x<12$ . By sketching a graph of $\mathrm{P}(\mathrm{x})$ , estimate when the change in pressure is maximum.

A) In year 3
B) In year 6
C) In year 5
D) In year 4