But let's see if there any other inflection points, or potential inflection points.

It's an inflection point.

These are both inflection points.

We have an inflection point.

It's a potential inflection point.

Well, what's an inflection point?

It's just a curve without inflection.

So these definitely are inflection points.

So this is an inflection point.

But we are at an inflection point.

So 0 is not an inflection point.

So this is also an inflection point.

Maybe it goes to an inflection point.

So 0 is definitely not an inflection point.

We figured out that this was an inflection point.

It's because you're all doing a cross model synesthetic abstraction, meaning you're saying that that sharp inflection ki ki, in your auditory cortex, the hair cells being excited Kiki, mimics the visual inflection, sudden inflection of that jagged shape.

It's because you're all doing a cross model synesthetic abstraction, meaning you're saying that that sharp inflection ki ki, in your auditory cortex, the hair cells being excited Kiki, mimics the visual inflection, sudden inflection of that jagged shape.

Has the eurozone, at long last, reached the inflection point?

Let's see if positive and negative 3 are inflection points.

We already know that this is a potential inflection point.

And it says prove that this has no inflection point.

And let's see if we can find any candidate inflection points.

So let's see if there any other potential inflection points here.

But we figured out that this was an inflection point, right?

And remember, candidate inflection points are where the second derivative equals 0.

So this is an inflection point where the slope was also 0.

If it is a transition point, then we're dealing with an inflection point.

So let's see if x is equal to 0 is an inflection point.

Now an inflection point is when the second derivative is equal to 0.

Now, this condition by itself isn't enough to say that it's an inflection point.

Now, we have one more candidate inflection point, and then we're ready to graph.

We don't know if it's a maximum or a minimum, or an inflection point yet.

And this would also be called an inflection point if it was the other way.

And then we have x is equal to 2 3, which is our inflection point.

In order for something to be an inflection point, the second derivative has to switch signs.

Although the first derivative (3 x 2) is 0 at x 0, this is an inflection point.

And in the next video, I'll give you a little intuition on what happens with inflection points.

Now if the second derivative equals 0, that doesn't tell us that those are definitely inflection points.

If x is inflection, then the second derivative at x is going to be equal to 0.

So 3 is definitely an inflection point, and the same argument could be made for negative 3.

They might be maximum points, they might be minimum points, they might be inflection points, we don't know.

So it creates this inflection in the graph, and you just would have to look at this chart.

There might be a tipping point, an inflection point, where sales literally go exponential and start to skyrocket.

You're doing it with your looks, with the inflection of your voice, ...the very posture of your body.

So just because a second derivative is 0, that by itself does not tell you it's an inflection point.