- (B) The rate of growth, is greatest when its derivative is 0 and the curve of is concave
down. Since
which is equal to 0 if or 500, animals. The curve of y ′ is concave down for all P, since
so P = 500 is the maximum population.
which is equal to 0 if or 500, animals. The curve of y ′ is concave down for all P, since
so P = 500 is the maximum population.