Stage 36 · Limits, Derivatives & Their Applications
36.2.5 Instant Speed: Our First Application
36.2 How Fast Things Change: From Average to Instant
Point 5 of 5
36.2.5 Instant Speed: Our First Application
Core ideaThe number on the speedometer at one instant is just position differentiated with respect to time, s′(t).
Module goal. Use a limit to squeeze "the average pace over a stretch" down into "the pace at this very instant," leading naturally to the heart of the derivative.