Rate of change of population after 2.5 hours?

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Homework Help Overview

The discussion revolves around finding the rate of change of a population represented by a given function over time. The function is defined in terms of time (in hours) and involves derivatives to determine the rate of change at a specific time point.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the necessity of finding the derivative to determine the rate of change. There is some confusion about the differentiation process, with references to the product and chain rules. Questions arise regarding the correct interpretation of the function and the differentiation steps involved.

Discussion Status

The conversation is ongoing, with participants sharing their attempts at differentiation and questioning each other's methods. Some guidance has been offered regarding the use of derivatives, but no consensus has been reached on the correct approach or final answer.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the information they can share or the methods they can use. There is also uncertainty regarding the correct application of differentiation rules to the given function.

Math Sucks
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Rate of change... derivative?

Homework Statement



the total number of people(in millions) present in a population at a given time is given by the function:

2t(5t+9)^1/2+12

where t represents time (in hours) find the rate in change of the population after 2.5 hours...

Homework Equations





The Attempt at a Solution



im so confused do i find the derivative ?
 
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Math Sucks said:

Homework Statement



the total number of people(in millions) present in a population at a given time is given by the function:

2t(5t+9)^1/2+12

where t represents time (in hours) find the rate in change of the population after 2.5 hours...

Homework Equations





The Attempt at a Solution



im so confused do i find the derivative ?

Sounds like a good idea to me. The derivative is the rate of change.
 


i got 10t+9..
 


10(2.5)+9... 34?
 


Math Sucks said:
i got 10t+9..

Now how did you get that? Your expression looks like 2 t \sqrt{5 t + 9}+12, is that right? Looks like you'll need the product rule and chain rule etc to differentiate it.
 
Last edited:

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