It's not a lot of money at the global level.

And so, people this is a study that I did now.

Fine Structure Constant

So plus f1 of x, that's just the first function, times the derivative of the second function.

This isn't 10,000, it's the local currency.

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Uh, sometimes the gauges register a little...

And so, we've known about this for some period of time.

And if it's an exact equation, that tells us that there exists a psi, such that the derivative of psi of x, y is equal to 0, or psi of x, y is equal to c, is a solution of this equation.

A function that is differentiable everywhere is continuous.

What is a differential equation?

So, let's see what this, this equation will do.

In general, the derivative with respect to x of X 2 plus any constant, any constant, is going to be equal to 2X.

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Here is my solution.

If you have a polynomial, you could have more than one values of x that satisfy this equation.

Remember, we're not taking an implicit derivative here. y is just a constant.

So that's the back propagation algorithm and how you compute derivatives of your cost function for a neural network.

And as we see right here, we have the derivative.

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Okay, so that's 25,000 total deposited into the Operation Get Samnang account.

When I introduced you to the unit step function, I said, you know, this type of function, it's more exotic and a little unusual relative to what you've seen in just a traditional Calculus course, what you've seen in maybe your

It's just a number, right? y is just a number.

Now you add that to the derivative of the second function times the first function.

The math teacher explained the concept of partial differentiation.

If psi is a function of x and y, and I would take not a partial derivative, I would take the full derivative of psi with respect to x, it's equal to the partial of psi with respect to x, plus the partial of psi with respect to y, times dy dx.

So let's say we wanted to hold y constant.

We know how to take derivatives of functions.

If I apply the derivative operator to

And if we can find our psi, we know that this is just the derivative of psi.

All the liquid water above ground is surface water and it is a tiny blip of an amount.

I know that.

Because if you take the derivative just with respect to x of this, then the function of y is just a constant, right?

X 2 pi, I also get 2X.

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Similarly, this is going to be the partial derivative of psi, with respect to y, but when we do the test, we take the partial of it with respect to x so we get that mixed derivative.

That's how small it is.

And this is actually a separable differential equation in and of itself.

The number of people waiting in line to purchase tickets at time t, is modeled by a twice differentiable function L, L of t.

There isn't some crazy outside function there that would have also worked.

The solution to a differential equation is not a number, it is a function.

Whereas any outcome in the region over here is okay, so we accept it.

So we could write mu of x is equal to d, the derivative of mu with respect to x, times x.

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