A certain plant species spreads according to

MATHEMATICS · Single correct · AP · Calculus BC · Differential Equations · Differential Equations

Problem

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}

(b)

4.5\text{ days}

(c)

3.4\text{ days}

(d)

8.0\text{ days}