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Exponential functions

Exponential Functions

The embedded Geogebra window below may not work brilliantly on mobile devices.

move the slider to change the value of $k$ in the graph of $y=k^x$, shown in blue. The orange curve is the graph of $y = \frac{d}{dx}(k^x)$. You will see that at close to $k=2.7$, the graphs are nearly identical. The precise value for which the two curves are identical is $k=e$.