https://youtu.be/3neWNOz1Wf8

In this video I go over some more useful examples on the chain rule for derivatives and look at functions within functions within functions and thus require using the chain rule multiple times.

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# Chain Rule for Derivatives: Examples Part 4

![Chain Rule Examples Part 4.jpeg](https://files.peakd.com/file/peakd-hive/mes/BrdhIpmS-Chain20Rule20Examples20Part204.jpeg)

## Chain Rule Recap

![image.png](https://files.peakd.com/file/peakd-hive/mes/I6gf2VKU-image.png)

## Example 1

y = e<sup>sin x</sup>

### Solution

![image.png](https://files.peakd.com/file/peakd-hive/mes/qBTNil67-image.png)

## Example 2

y = sin(cos(tan x))

### Solution

![image.png](https://files.peakd.com/file/peakd-hive/mes/R1UyIyXK-image.png)

## Example 3

y = e<sup>sec(3ϴ)</sup>

### Solution

![image.png](https://files.peakd.com/file/peakd-hive/mes/SPsaEYRC-image.png)