Derived

The derivative of that is pretty straightforward.

Where this x is you have a cosine there, and then we have cosines derivative there.

So this is derivative.

This is a standard derivative, this is a partial derivative, because at that level we're dealing with two variables.

So we take the derivative of the inside, the derivative of inside is minus 3 times 3 is minus 9, x go down one to the minus 4, plus 2x.

It has the traditional name Aludra.

First I want the derivative of this term.

So what's the derivative of this term?

What's the derivative of the second term?

And now we take the derivative of the whole thing.

And the order is the highest derivative of that function.

Derivative of the inside is r.

The derivative of x is just 1.

The derivative of x is 1.

What's the derivative of 1?

Well part C is actually it was easier to keep it in this form because taking a derivative of e is easier than taking a derivative of another base.

41. This amount is derived from item 19 above.

Well, you could view it as the derivative of the first derivative, right?

Light blue means the derivative of one of the terms.

The derivative of a vector valued function is once again going to be a derivative.

Well what's the derivative of f of x?

Because the derivative of z is 1.

What's the derivative of sine of x?

The family name derives from the name for the genus.

And, maybe at a given value of x, what the first derivative is.

(Laughter)

So let's begin with a bit of a review of the actual derivative.

So the first derivative of g is equal to well this is product rule.

A times the second derivative plus B times the first derivative plus C times the function is equal to g of x.

So the derivative of x is 1 times v plus x times the derivative of v with respect to x.

Sometimes you can say this is the derivative of the inside times the derivative of the outside with respect to the inside.

The derivative of f of x simplifies things a lot.

So, they have this differential ? derivative. ?

And then you take the derivative of the inside.

But we could rewrite the derivative as well.

The name of the dynasty is derived from the Cushitic speaking Agaw of northern Ethiopia.

This is the derivative of this, just like this is the derivative of this.

So there we took the derivative of this first term right here and then the product rules says we take the derivative of the first term, we just multiply it by the second term.

So what is the first derivative of it, first of all.

And then to that we will add the derivative of this second function.

And if you don't trust me, take the derivative of this.

But you can kind of say we took an anti partial derivative.

So y of 0 is kind of one derivative away from that.

And then you could kind of say, let's take the, you know, so form of derivative, so you get y of 0 it's not a real derivative.