# Math Help - Derivative Problem

1. ## 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?

2. ## Re: Derivative Problem

Hey jason76.

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