Subject:
Calculus
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Tags:
Cac077, Chain Rule
Creative Commons Attribution Non-Commercial
Language:
English
Media Formats:
eBook, Interactive

# 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.