Differentiation

That is a pretty sophisticated grammatical differentiation.

Here we just use our implicit differentiation skills.

The math teacher explained the concept of partial differentiation.

We're just doing implicit differentiation of the chain rule.

And this is just the implicit differentiation that you

They're just implicit differentiation backwards, and it's really nothing new.

It is the basis of our real differentiation, one individual from another.

Kecyte and... at that rate, you couldn't possibly maintain cell regulation or differentiation.

So this kind of looks like something we got after we did some type of implicit differentiation.

And you might want to review the implicit differentiation videos if that seems a little bit foreign.

And notice that the derivative of psi with respect to x just using implicit differentiation is exactly this.

There isn't necessarily this differentiation between these outermost cells and these embryonic, or this embryoblast, or this inner cell mass here.

And in fact they result in a wonderful differentiation in humankind, in the way that, in fact, no two of us are quite alike.

There's a minus sign over here, and the minus sign is inherited from the minus sign inside the logarithm using the chain rule of differentiation.

And I know we did a couple already, but another way to think about separable differential equations is really, all you're doing is implicit differentiation in reverse.

This is actually a period of dramatic change in which it doesn't take learning, per se, to drive the initial differentiation of the machinery of the brain.

Let's try to get a better intuition of the chain rule, and in the process, we'll get a better intuition of how it applies to implicit differentiation or vice versa.

The whole process of differentiation is actually fascinating, and we'll talk a lot more about that when we talk about stem cells, embryonic stem cells, and maybe we'll even talk about the debate of it.

This is a marvelously constructed thing that results in individual form because each one of us has vastly different histories, and vastly different experiences, that drive in to us this marvelous differentiation of self, of personhood.

I just defined psi like this just so I can give you the intuition that when I use implicit differentiation on this, when I take the derivative of this with respect to x, I actually get something that

They found that there was no genetic differentiation between any of the world's oceans of basking sharks even though they're found throughout the world, you couldn't tell the difference, genetically, from one from the Pacific, Atlantic, New Zealand, Ireland, South Africa.

And I just wanted to show you that the derivative of psi with respect to x, just using implicit differentiation and our standard chain rule, actually gives you the left hand side of the differential equation, which was our version of problem.

Dotti For, for, for

For you. For me. For everybody.

For... For what?

...for... for... whatever.

Thanks for, uh, for fighting for us.

On the one hand, our need for security, for predictability, for safety, for dependability, for reliability, for permanence.

For Turkey, For Europe

'For you, for me'

For journey, for travel.

For me! For Aksinya!

For better, for worse.

For... for the murder?

For Gondor! For Gondor!

For hours... For days...

For what? For us.

For real? For real.

This is a day for curiosity and for scepticism, for openness and for critical thinking, for inspiration and for action.

We know that for Alzheimer's, for Parkinson's, for Huntington's.

For our lands, for our families, for our freedoms.

Thanks for waiting for me.

'for you' is 'for me'

For ourselves or for others.