Subject:
Calculus
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Tags:
Cac077, Chain Rule
License:
Creative Commons Attribution-NonCommercial 4.0
Language:
English
Media Formats:
eBook, Interactive

Education Standards (1)

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

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.