# Math Help - Find Rate For Population Growth

1. ## Find Rate For Population Growth

I am doing a self-study and review of calculus 1 material.
I came across this question.

Given p(t) = 500[1 + (4t/(50+t^2)]

Note that t is measured in hours.
Find the rate at which the population is growing
when t = 2.

Must I find the derivative of p(t) before replacing t with 2 or just plug t = 2 into the given formula?

2. ## Re: Find Rate For Population Growth

Yes, just find $\frac{dp}{dt}$ and evaluate at t=2.

3. ## Re: Find Rate For Population Growth

I found p'(2) to be 31.55.

4. ## Re: Find Rate For Population Growth

Just a last note, if you are required to show your full solution, your final answer should be in fraction form.