Author:
Ohio Open Ed Collaborative
Subject:
Calculus
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Tags:
  • Cac077
  • Chain Rule
  • License:
    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

    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.