Mathematics

Problem

A certain plant species spreads according to

P(t)=\dfrac{800}{1+15e^{-0.6t}}

, where

P

is the number of plants and

t

is measured in days. At which of the following times is the population growing most rapidly? a)

2.0\text{ days}

4.5\text{ days}

3.4\text{ days}

8.0\text{ days}