Lesson: Interpreting Graphs of Derivatives Mathematics • Higher Education

In this lesson, we will learn how to connect a function to the graphs of its first and second derivatives.

Lesson Plan

Objectives

Students will be able to

  • use a graph of a function to describe the behavior of the derivative and second derivative of the function at different points along the graph,
  • describe the gradient, local extrema, and concavity of the graph of a function using the graph of the first or second derivative of the function.

Prerequisites

Students should already be familiar with

  • the concepts of increasing and decreasing segments of a function, local maxima and minima, and concavity.

Exclusions

Students will not cover

  • performing calculations with functions in order to describe the gradient, local extrema, or concavity of the function.

Lesson Video

Video Thumbnail
16:37

Lesson Explainer

Sample Question Videos

  • 05:03
  • 07:20
  • 06:08

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