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 .
@spiguy4 ай бұрын
But the straight line is not an arbitrary curve, it's the 2nd derivative of the top curve. The right of the screen explains how we found the inflection point in terms of the maths. The reasoning is the same: we're looking for the critical points of f'(x) which with this method will allow us to find where the slope of f(x)'s continuity is the steepest aka inflection points.
@guitarttimman5 жыл бұрын
Awesome job boss. I love the Khan Academy videos. Thank you.
@tammyl45863 жыл бұрын
Increasing & Decreasing and Concave up & down are two different concepts...... But this video mixes them together.
@spiguy4 ай бұрын
The language can be confusing, but weren't they talking about depression and ascension of the slope, not the original curve?
@newkoreathreekingdom11 жыл бұрын
Lol thank you so much right when i needed help in inflection point 1 minute later you upload it.
@jamesepace11 жыл бұрын
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.
@JH-hb5cc6 жыл бұрын
James Pace not all points where the second derivative is 0 is necessarily an inflection point. All inflection points do have a second derivative of 0
@kishansahu25183 жыл бұрын
Manh..it's a sufficient condition
@SPYmatholution6 жыл бұрын
Find number of inflection point for the graph f(x)= x^2, for x>=0 f(x)=-x^2 for x
@whitneycarpenter6913 жыл бұрын
Helpful! Thank you!
@youtubeessentials2996 Жыл бұрын
Thanks a lot
@elmarjuz11 жыл бұрын
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.
@菈米的大福工坊4 жыл бұрын
0:28 The slope was decreasing?
@菈米的大福工坊4 жыл бұрын
khan Academy are u serious
@indiawelch45927 жыл бұрын
This helped a lot. THANKS!!!!
@kabirkrishna8520 Жыл бұрын
Top G
@JosePablo248 жыл бұрын
He forgets to mention that inflection points also happen where f'(x) and f''(x) are undefined.
@parsazahed42105 жыл бұрын
will they be the same points? (the points where f'(x) and f"(x) are undefined)
@aryamanm21704 жыл бұрын
those are called critical points
@deependragaur49914 жыл бұрын
Thanks 🙏🙇
@vitorpareja11 жыл бұрын
does that aply for sin and cos functions ??? because the f ' (sin) isn't a cos!?!?!?