I understand that but but if you think about epoxy, what's epoxy?

Derivatives

Or any arbitrary derivatives.

learned taking anti derivatives.

That's all derivatives are.

Derivatives, derivatives, these are whole big groups of many, many compounds, these sorbitans.

And I call it an epoxy method because it's not very appetizing.

And on day two, we put those two pieces together. That's the epoxy.

It turns derivatives into multiplications by f.

You buy derivatives off of off of rainfall.

We know how to take derivatives of functions.

An Assistant dialog to simplify calculating derivatives of expressions

So what's the pattern as we take the derivatives?

Weather derivatives started in 1999 at the C.M.E. Group.

You've probably heard the term derivatives and people do a

We're taking derivatives and we're doing all sorts of things.

And you can see just what a shoestring operation this really was, because we cast these 16 blue LEDs in epoxy and you can see in the epoxy mold that we used, the word Ziploc is still visible.

The other was treating the patients with quinine, or quinine derivatives.

You call them stock, or stock options, derivatives, mortgage backed securities.

What's the first and second derivatives of e to the x?

And if you've taken a calculus class before and if you're familiar with partial derivatives and derivatives, it turns out that's exactly what that derivative term is.

And you can take arbitrary derivatives and just keep multiplying by s.

Maths. Homework's about derivatives, but I really can't seem to cope with it.

Now let me confirm that their derivative, their first derivatives are the same.

So what has to happen for their second derivatives to equal each other?

It's ordinary, because we only have a regular derivative, no partial derivatives here.

So let's figure out what that is in terms of the derivatives of v.

Then we said, the derivatives equal each other, and so we added this term.

That makes sense, because the separable differential equations are really just implicit derivatives backwards.

If you take two anti derivatives you get back to the negative of itself.

And if you take two derivatives, you get back to the negative of itself.

So draw back into your brain and think, is there some function that when I take its first and second derivatives, and third and fourth derivatives, it essentially becomes the same function?

And now I'm going to say, what happens when their second derivatives equal each other?

Well, a differential equation is an equation that involves an unknown function and its derivatives.

As we keep taking derivatives we'll keep repeating and the pattern will go on, right?

But if you want to do these problems really quick, you just substitute the 2nd derivatives with an r squared, the first derivatives with an r, and then the function with oh sorry, no.

Here's another kind of prefiguring of epoxy because we've got glutenin and gliadin, neither of which are strong enough to make a good bread.

So, in gradient descent, you know, when computing derivatives, we're computing these sums, this sum of.

Next, in order to compute the derivatives, we're going to use an algorithm called back propagation.

Comedy seems to live here, to subsist on the illogic of logical contradiction and its derivatives.

In the last video I introduced you to the idea of the chain rule with partial derivatives.

Weather derivatives are financial instruments that firms would use to hedge risk concerned with adverse weather conditions.

And then as we go into drill derivatives and integrals, you'll actually understand why people probably even invented

It's not only because we like to drink lots of it, and its marvelous derivatives, beer, wine, etc.

And so we're going to compute this derivative of, I'm not sure if you've seen derivatives in calculus before.