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Differentiating ex and its friends

Remember:


1. e is a number whose value is about 2.72.


2. e is used as the base for the exponential and logarithm functions, ex and $\ln
x$.


The function ex has the following amazing property:


\begin{displaymath}\boxed{\frac{d}{dx} (e^x) = e^x}\end{displaymath}

The derivative of ex is just ex again. That's kind of like giving birth to yourself, a very difficult event to achieve, and one that would get


Joel Hass
1999-05-26