Name: Identifying composite functions | Derivative rules | AP Calculus AB | Khan Academy
Uploaded: 2022-09-09T14:51:44.000Z
Duration: 8 min 12 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...

To-infinitive

- [Instructor] We're going to do in this video is review

If you've never heard of the term composite functions

or if the first few minutes of this video

I encourage you to watch the algebra videos

The goal of this one is to really be a little

bit of a practice before we get into some skills

So let's just review what a composite function is.

And then we're gonna take that output, g of x,

or input it into the function f, I should say.

whatever the input was, and the input is g of x,

let's see if we can go the other way around.

hey, can we express that as a composition

But with that said, pause this video and say,

So there's a couple of ways that you could think about it.

well actually let me use a different variable

So this would be cosine of u of x plus one.

if we then defined another function as v of x

being equal to cosine of whatever its input is

plus one, well then this looks like the composition

Instead of v of x, if we did v of u of x,

then this would be cosine of u of x plus one,

which is sine of x, if we did v of u of x,

So we can either write cosine of u of x plus one,

and v of x is equal to cosine of x plus one,

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Identifying composite functions | Derivative rules | AP Calculus AB | Khan Academy

recognize

figure

expression

practice