Rate of change of population after 2.5 hours?

[Math Sucks]

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 ?

 

[Dick]

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.

 

[Math Sucks]

i got 10t+9..

 

[Math Sucks]

10(2.5)+9... 34?

 

[Dick]

i got 10t+9..

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