# Chain rule modules

## Overview

After completing this section, students should be able to do the following.

- Recognize a composition of functions.
- Take derivatives of compositions of functions using the chain rule.
- Take derivatives that require the use of multiple rules of differentiation.
- Use the chain rule to calculate derivatives from a table of values.
- Understand rate of change when quantities are dependent upon each other.
- Use order of operations in situations requiring multiple rules of differentiation.
- Apply chain rule to relate quantities expressed with different units.
- Compute derivatives of trigonometric functions.
- Use multiple rules of differentiation to calculate derivatives from a table of values.

# An unnoticed composition

## Ximera Module

Two young mathematicians discuss the chain rule.

# The chain rule

## Ximera Module

Here we compute derivatives of compositions of functions.

# Derivatives of trigonometric functions

## Ximera Module

We use the chain rule to unleash the derivatives of the trigonometric functions.