Population Growth in Clark County

Question

A certain county in Nevada is one of the fastest-growing metropolitan areas in the United States. The population of this county from 1970 through 2010 is approximated by the function

P(t) = 35,901t³ − 71,394t² + 234,633t + 273,288    (0 ≤ t ≤ 4) where t is measured in decades, with t = 0

 corresponding to the beginning of 1970.

(b.) Find when the population is increasing or decreasing at the slowest pace. Hint: Find the inflection point of P in the interval (0, 4). (Round you answer to two decimal places.)

Answer 1

Inflection point is when second derivative is at a minimum.