2nd derivative test, a visual explanation

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Note: at 1:38 I said that a cubic is an example of a point of inflection that doesn't seperate concavity. This is rubbish, as it actually does. So please ignore that 5 second snippet of dribble.

Explain visually what the 2nd derivative does to a function, and how using it determines the nature of stationary points.
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This is the only video that was able to get me to finally understand how this works ... thank you!!!

ashleyklein
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Incredible video, a shame it has so little views. Thank you!

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Finally a way i can adjust this thing in my head. Thanks 👍

ioerror
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What software is used to produce these visuals? I have a TA who has shown similar-looking work. It helps me tremendously, so I would like to know... thank you for the detailed explanation!

madebyarmadillo