Inflection points introduction | AP Calculus AB | Khan Academy

Inflection points are points where the function changes concavity, i.e. from being "concave up" to being "concave down" or vice versa. They can be found by considering where the second derivative changes signs. In similar to critical points in the first derivative, inflection points will occur when the second derivative is either zero or undefined. Created by Sal Khan.

AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.

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[qflexmoves]

You stacking all the functions like this makes so much sense, visually. Thank you.

[tammyl]

Increasing & Decreasing and Concave up & down are two different But this video mixes them together.

[newkoreathreekingdom]

Lol thank you so much right when i needed help in inflection point 1 minute later you upload it.

[guitarttimman]

Awesome job boss. I love the Khan Academy videos. Thank you.

[jep-pacehouse]

I think I learned that the inflection point is where the second derivative is 0. I suppose if the second derivative is always 0, then that isn't true.

[Anielisstudying]

Alright, but in the third example, the functions graph represent a straight line. There is no concavity in that.
I just don’t get where the inflection point came from .

[SPYmatholution]

Find number of inflection point for the graph f(x)= x^2, for x>=0
f(x)=-x^2 for x<= 0 ?

[elmarjuz]

This is not completely related to the topics you are lately showcasing, but, could you at some point turn in the future to explaining discrete math elements?
Sets and relations and stuff. You have a couple of videos about relations and functions, but these topics can be sort of convoluted.
Also, mathematical proofs. I'm having a lot of problems with those.

[JosePablo]

He forgets to mention that inflection points also happen where f'(x) and f''(x) are undefined.

[mubasshirmubin]

bet u cant draw 2 concave downwards together😂😂

[vitorpareja]

does that aply for sin and cos functions ???
because the f ' (sin) isn't a cos!?!?!?