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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 .


	Contributed by: Julio Cesar de la Yncera

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

Stationary Point (Wolfram MathWorld)

Extremum (Wolfram MathWorld)

Differentiable (Wolfram MathWorld)

"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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