Question

Given the population functuon P(t)= 50/ (1 + 4e^(-.1t) , fine the maximum rate of growth for this population where t is measured in days. What is the actual population at this time.

Answer 1

so you want to find where the first derivative (rate of growth) is a maximum.
Isn't that where the second derivative is equal to zero ?

Give it a shot

Answer 2

yes