Name: Differentiating polynomials example | Derivative rules | AP Calculus AB | Khan Academy
Uploaded: 2022-07-12T12:31:23.000Z
Duration: 6 min 39 s
Description: Thousands of YouTube videos with English-Chinese subtitles! Now you can learn to understand native speakers, expand your vocabulary, and improve your pronunciation...

- [Voiceover] So I have the function F of X here

and we're defining it using a polynomial expression.

the derivative of this polynomial expression

So we can say the derivative with respect to X

And so the notation, just to get familiar with it

you could do this as the derivative operator.

Now here we can use our derivative properties.

of the difference of the derivative of each of them.

let me just, with the derivative with respect to X

So I'll put the two X to the third there.

so I'm subtracting the derivative with respect to X

I'm taking the derivative individually of

or subtracting in the same way that the terms

And so what is this going to be equal to?

the same, we could bring the constant out.

The derivative with, two times the derivative

this is one of our derivative properties.

And what will the derivative with respect to X

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Differentiating polynomials example | Derivative rules | AP Calculus AB | Khan Academy

essentially

bunch

figure

constant