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Fermat's Theorem on Stationary Points
Fermat's theorem on stationary points states that if is a local extremum in the interval and is differentiable at , then .



Snapshot 1: a local maximum; notice the slope is zero
Snapshot 2: a local minimum; the slope is also zero here; also notice the change of sign from positive to negative for the maximum and from negative slope to positive slope for the minimum


"Fermat's Theorem on Stationary Points" from The Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/FermatsTheoremOnStationaryPoints/
Contributed by: Julio Cesar de la Yncera
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