It's an inflection point.

We have an inflection point.

It's a potential inflection point.

Well, what's an inflection point?

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.

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

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

We already know that this is a potential inflection point.

And it says prove that this has no inflection point.

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

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

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.

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

So this is another interesting point that we haven't really hit upon before that might be an inflection point.

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.

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

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

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

That x is equal to 2 3 thirds is definitely an inflection point for our original function up here.

And you can see that the units started to trend up, the hidden inflection point it was taking off.

He clearly saw that that was a moment, that was an inflection point that he could do something with.

We don't know what f of 5 is, but f of 5 they didn't tell us is an inflection point.

I believe that Africa has reached an inflection point with a march of democracy and free markets across the continent.

These are both inflection points.

It's just a curve without inflection.

So these definitely are inflection points.

Reed Hastings is here. He clearly saw that that was a moment, that was an inflection point that he could do something with.

But if the derivative is equal to 0, the second derivative is equal to 0, you cannot assume that is an inflection point.

This point right here, where we go from concave downwards to concave upwards, and it would actually be true if it was the other way around, this is called an inflection point.

And the point in which you're switching from a positive second derivative to a negative one or a negative one to a positive one, that is what is called an inflection point.

Hopefully, you understand visually what concave upwards and concave downwards means, and an inflection point, but what does this mean for the second derivative?

And it started to take off. And you can see that the units started to trend up, the hidden inflection point it was taking off.