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In calculus, the racetrack principle describes the movement and growth of two functions in terms of their derivatives.
This principle is derived from the fact that if a horse named Frank Fleetfeet always runs faster than a horse named Greg Gooseleg, then if Frank and Greg start a race from the same place and the same time, then Frank will win. More briefly, the horse that starts fast and stays fast wins.
In symbols:
or, substituting ≥ for > produces the theorem
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