Talk:Exponential function/Comments

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The fact that the slope of an exponential curve equals its local value can be illustrated by showing the tangent line at some arbitrary point. That line will always intersect the y=0 axis at the same (unit) distance from the tangent point.

If the exponent includes a scale parameter, the intersect distance equals that parameter. For example, in exponential decay with time constant t₀, y = y₀exp(-t/t₀), the tangent line crosses the time axis at a time interval t₀ from the tangent point. "If the initial rate of a capacitor's RC discharge were maintained constant, the discharge would be complete after one RC time constant." Elexmax 15:21, 5 June 2007 (UTC)

Clearly Top-priority. Geometry guy 19:34, 10 June 2007 (UTC)