y=x^3 has a point of inflection at x=o. I know it is true but how i prove it with an statement?

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y=x^3 has a point of inflection at x=o. I know it is true but how i prove it with an statement?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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You test the point by, take the Second Derivato on it.. and then you can test it by using, a point before 0 and after.. For exempel test with the point -1 and 1
you get a parabola
and the parabola touches the origin..is this fine?

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@nabaz thankyou. it means i have to solve it.
No problem, is it a parabola...???
yeah , of course, u need proof?
i thouht it was a Curve ..
@thinker thankyou
if so, u have the answer wid u...just try substituting x=-1,1,0,-2,2,...... and you'll get corresponding y values, with which u can get a curve...and that curve is a parabola
now , is this fine?? @nabaz & @abhinn
yeah, i last thing... u mean this is a parabola.. http://en.wikipedia.org/wiki/File:X_cubed_plot.svg
Copie the text.. could get the hole adress..
no no....not that one...:).try this http://en.wikipedia.org/wiki/File:Parabola.svg this is a parabola...both of go to this link n see
*both of u
its like a "U" shape
Yes but this was a Y = x^3 and its not a parabole
Yes, but x3 is like a S with is lying downwards.
yeah...y=x^3 is a symmetric curve, but parabola looks like a "U" ...
haha.. my bad, i thought u meant that x^3 was a parabola
its ok:) nabaz
i wud like to give u both a hint
u der?
hint for what?
to know if an equation is parabola or what..only if u need it:)
yes, i know i think. ever x^2 x^4 x^6 .. ( not odd nrs )
exactly :)...good

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