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Math Help - Find Rate For Population Growth

  1. #1
    Senior Member nycmath's Avatar
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    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?
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  2. #2
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    Re: Find Rate For Population Growth

    Yes, just find  \frac{dp}{dt} and evaluate at t=2.
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  3. #3
    Senior Member nycmath's Avatar
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    Re: Find Rate For Population Growth

    I found p'(2) to be 31.55.
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  4. #4
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    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.
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