High Quality Content by WIKIPEDIA articles! 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 Franky 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: if f'(x) > g'(x) for all x > 0, and if f(0) = g(0), then f(x) > g(x) for all x > 0.

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