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cdoss
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Homework Statement
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.
Homework Equations
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