Re: true or false: (x^5 - x) has inflexion point at origin, (x^4 - x) doesn't



John Ramsden wrote:

> Is there any practical purpose in distinguishing a "change
> of sign in curvature" point from a straightforward y'' = 0
> point, apart from simply describing the appearance of
> curves?

Thinking of y' as velocity and y" as acceleration
gives us a "practical" application of inflection points.


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