lyladowney lyladowney
  • 07-02-2020
  • Mathematics
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What is the point of maximum growth rate for the logistic function f(x)

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sqdancefan
sqdancefan sqdancefan
  • 07-02-2020

Answer:

  at half the carrying capacity

Step-by-step explanation:

The logistic function is a solution to the differential equation ...

  x' = ax(b-x)

The largest value of x' occurs where x = b/2.

In terms of population dynamics, "b" will be the carrying capacity of the environment, the limit that x will approach.

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