Education Technology

Calculus: Graphing Relationships
by Texas Instruments

Published on June 09, 2008

Overview

In this activity, students explore information about a graph based on the first and second derivatives. They learn that a function's derivative is positive when the function increases and negative when the function decreases. They learn that the second derivative is positive when the graph is concave upward and negative when the graph is concave downward.

Key Steps

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    Students will learn that a function’s derivative is positive when the function increases and negative when the function decreases.

  • Image

    Students will learn that the second derivative is positive when the graph is concave upward and negative when the graph is concave downward.