PROOF 138
Prove.
The derivative can be 0 without an extremum
On the real numbers ℝ.
Definition D1
On an open interval containing c, if there is some δ > 0 with f(c+h) ≤ f(c) for every h with |h| < δ, then c is called a local maximum point of f. Reversing the inequality gives a local minimum point.
Proof.
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