It is equal to the slope of the line tangent to the graph at a *single* point.

1. 00:00 · 30 May 2026 · Sat

   Keub

   In pure math, the derivation is not this ratio d(s)/d(t) (t) for a specific choice of dt (=0.001). Instead, it's whatever that ratio approaches, as your choice for dt approaches 0.

   

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   It is equal to the slope of the line tangent to the graph at a *single* point.