Barbour County Fair is a 8 day event being held from 26th August to the 2nd September 2017 at the Barbour County Fairgrounds in Elkins, USA. This event showcases products like a wide array of Antiques,...
When resources are unlimited, populations exhibit exponential growth, resulting in a J-shaped curve. When resources are limited, populations exhibit logistic growth. In logistic growth, population expansion decreases as resources become scarce.
Consequently, the exponential function with base e is particularly suited to doing calculus. Choosing e, as opposed to some other number, as the base of the exponential function makes calculations involving the derivative much simpler. Another motivation comes from considering the derivative of the base-a logarithm, i.e., of log a x for x > 0: