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Jan
20
comment strict local extremum of $f'$ that is neither saddle nor inflection value of $f$
With extremum I mean "strict extremum", then the derivative of constant function would be constant without a strict extremum, so it doesn't match the first condition.
Jan
20
asked strict local extremum of $f'$ that is neither saddle nor inflection value of $f$
Dec
22
accepted Relation between points of inflection and saddle points
Dec
22
awarded  Benefactor
Dec
21
comment Relation between points of inflection and saddle points
Why did you delete the worked out mean value argument. Was there something wrong with it?
Dec
20
awarded  Critic
Dec
19
comment Relation between points of inflection and saddle points
Since the function is differentiable, strictly mono. increasing on the half open intervall implies the same property on the closed intervall.
Dec
14
awarded  Promoter
Dec
13
revised Relation between points of inflection and saddle points
added 18 characters in body
Dec
11
revised Relation between points of inflection and saddle points
added tag
Dec
11
revised Relation between points of inflection and saddle points
added 16 characters in body
Dec
11
comment $f'$ changes strict monotonicity but $f''$ isn't of strictly opposite signs
Thanks, but I noticed that I wasn't precise enough. I want that the property with the second derivative is violated on every neighborhood of $x_0$. See my edit.
Dec
11
comment $f'$ changes strict monotonicity but $f''$ isn't of strictly opposite signs
Thanks, but I noticed that I wasn't precise enough. I want that the property with the second derivative is violated on every neighborhood of $x_0$. See my edit.
Dec
11
revised $f'$ changes strict monotonicity but $f''$ isn't of strictly opposite signs
added 497 characters in body
Dec
11
accepted Does every differentiable function has an infliction point between a local maximum and minimum?
Dec
11
asked Relation between points of inflection and saddle points
Dec
10
revised $f'$ changes strict monotonicity but $f''$ isn't of strictly opposite signs
added 31 characters in body
Dec
9
comment $f'$ changes strict monotonicity but $f''$ isn't of strictly opposite signs
@ClementC. Ideally I want a simple example where one can "write down" a term for $f$ and not only saying that there exists some (maybe very complicated) primitive of your $g$.
Dec
9
asked $f'$ changes strict monotonicity but $f''$ isn't of strictly opposite signs
Dec
7
revised Chain rule proof from Wikipedia: references?
edited body; edited tags; edited title