Please help! Calculus problem!! ?
A city planner developed the function P to model the population of a city over the next 25 years, where P(t) is the projected population of the city t years from now. According to the model, which of the following gives the rate at which the population of the city will be changing at time t=5 ?
Update:a. p(5)
b. p(6) - p(4)
c. p(5)/5
d. p'(5)
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Answers & Comments
You want the instantaneous rate of change at a time t = 5, so you want the first derivative, for a time t = 5.
Summary:
"rate of changing" --> think "first derivative"
Answer:
d. p'(5)