CPM Homework Help : CALC Problem 12-25

Given the logistic differential equation from problem 12-24, determine the size of the population when it is changing most rapidly. What is the significance of this value?

Hint:

This occurs when $\frac{dP}{dt}$ is a maximum. Or, when $\frac{d^2P}{dt^2} = 0$ .
The carrying capacity is $800$ sea lions.