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Originally Posted by dvarapala
Offhand it seems like Doug Junior has a better grasp of the concept than you do:
Notice they specifically mention viral infections as being examples of exponential growth. Also notice that there is nothing in there about a "constant percentage."  |
I just took a whiz, and I do my best thinking with my Johnson in hand. And I became curious to see how one would mathematically demonstrate how this:
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A percentage growth rate that remains constant each period.
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Differs from this:
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Exponential growth is a specific way that a quantity may increase over time. It occurs when the instantaneous rate of change (that is, the derivative) of a quantity with respect to time is proportional to the quantity itself.
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Please explain, and show your work.
Hint: What happens in the first definition as the duration of a period approaches limit zero?