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1 Mar 2020 23:44:56 UTC
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Differential Equations: Population Growth: Logistic Equation: Example 2
In this video I prove that the growth rate in a population, assuming it uses the logistic model, is fastest at half the carrying capacity. I prove this using the first derivative test but apply it to the 1st and 2nd derivatives of the population function. In my last video I graphically showed that in fact the population appears to be growing fastest at about the half way mark, but in this video I prove it definitely. This is a very good video to understand how population sizes increase so make sure to watch this video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhtRGv18rsw8vwtk6qw

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-population-growth-logistic-equation-example-2

Related Videos:

Differential Equations: Population Growth: Logistic Equation: Example 1: https://youtu.be/FMFTLa8URDg
Differential Equations: Population Growth: Logistic Equation: https://youtu.be/yE8aoY8Bks4
Differential Equations: Population Growth: Proportionality Constant: https://youtu.be/y4cJX0rcXqw
Differential Equations: Exponential Growth and Decay: https://youtu.be/DZtDUIZuxcg
Differential Equations: Separable Equations: https://youtu.be/pBV-xT9ty94
Differential Equations: Euler's Method: https://youtu.be/VlwVl-3oPDM
Differential Equations: Direction Fields: https://youtu.be/zWv1y8Xp1ac
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA
First Derivative Test: http://youtu.be/9W4ejz0EMtE .

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