Derivative Problem

• August 21st 2013, 10:58 PM
Jason76
Derivative Problem
Maybe this is actually an integral one:

The population P of Bacteria grows according to the equation: $\dfrac{dP}{dt} = kP$ where $k$ is a constant, and $t$ is measured in hours. If the population of bacteria doubles every 24 hours, then what is the value of $k$?

Any starting hints? http://www.freemathhelp.com/forum/im...s/confused.png
• August 22nd 2013, 03:13 AM
chiro
Re: Derivative Problem
Hey jason76.

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