Under a set of controlled laboratory conditions, the size of the population of a certain bacteria culture at time t (in minutes) is described by the following function.

P = f(t) = 3t^2 + 2t + 1
Find the rate of population growth at t = 10 min.
bacteria per minute

2 answers

rate of growth at any instant is just dP/dt

P' = 6t + 2
P'(10) = 62 bugs/min
62