Solve for when the population increases the fastest in the logistic growth equation: P′(t)=0.5P(1−P4500)\displaystyle {P}'{\left({t}\right)}={0.5}{P}{\left({1}-\frac{{P}}{{4500}}\right)}P′(t)=0.5P(1−4500P)
P\displaystyle {P}P =
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