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Differentiating ex and its friends


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

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