1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Rate of Change Derivitive

  1. Feb 24, 2012 #1
    1. The problem statement, all variables and given/known data
    A population of 500 bacteria is introduced into a culture and grows in number according to the equation P(t)=500(1+(4t/(50+t2), where t is measured in hours. Find P'(2), an interpret the results.

    2. Relevant equations

    3. The attempt at a solution
    I used the product rule, sum and difference rule, and the quotient rule, but it seems like I used it a lot and there is a lot of steps that I used. I think I am over-thinking this problem. But I got 10000-200t2/(50+t2)2
  2. jcsd
  3. Feb 24, 2012 #2


    User Avatar
    Homework Helper

    Is it supposed to be this?
    [tex]P(t) = 500\left( 1 + \frac{4t}{50 + t^2}\right)[/tex]
    I also got something different for P'(t).
  4. Feb 24, 2012 #3


    User Avatar
    Science Advisor
    Homework Helper

    hi cdoss! :smile:
    where is there a product? i only see a quotient :confused:

    show us your full calculations :smile:
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook