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I was reading this article in wikipedia related to saddle points. When I came across this line

In one dimension, a saddle point is a point which is both a stationary point and a point of inflection. Since it is a point of inflection, it is not a local extremum.

Actually, I didn't get it when it said that it could also be a point of inflection. Can anyone give me an example of such a function and its saddle point which is both a stationary point and point of inflection?

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    Images at https://www.google.com/search?q=saddle+point&hl=en&prmd=imvns&tbm=isch2012-06-15
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    Thats what I didn't get. I mean the point is a saddle point by definition. That is fine. It is also a stationary point because the derivative at that point is 0. But how come it is a point of inflection? As mentioned in the wiki they are referring to one dimesion. So any example in one dimension2012-06-15

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