
Derivative Problem
Maybe this is actually an integral one:
The population P of Bacteria grows according to the equation: $\displaystyle \dfrac{dP}{dt} = kP$ where $\displaystyle k$ is a constant, and $\displaystyle t$ is measured in hours. If the population of bacteria doubles every 24 hours, then what is the value of $\displaystyle k$?
Any starting hints? http://www.freemathhelp.com/forum/im...s/confused.png

Re: Derivative Problem
Hey jason76.
Hint: You need to solve for P(t) and use the fact P(t+24) = 2*P(t).