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Proposition: ZeroDerivative as a Necessary Condition for a Local Extremum
Let $a < b$ and $]a,b[$ be an open real interval and $f:]a,b[\to\mathbb R$ a function with a local extremum at $x$, and let $f$ be differentiable at $x$. Then $f'(x)=0$.
Table of Contents
Proofs: 1 Explanations: 1
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Explanations: 1
Sections: 2
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References
Bibliography
 Forster Otto: "Analysis 1, Differential und Integralrechnung einer VerĂ¤nderlichen", Vieweg Studium, 1983