The population P of an island y years after colonization is given by the function: \displaystyle P = \frac{250}{1 + 4e^{-0.01y}}. After how many years was the population growing the fastest?
I tried taking the second derivative and setting it equal to zero. From there I solved for y but kept getting y = 0. Which doesn't make too much sense so I was wondering how anyone would go about answering this problem.
