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Proposition: Zero-Derivative 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

1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983