Lesson Plan: Interpreting Graphs of Derivatives Mathematics • 12th Grade

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to connect a function to the graphs of its first and second derivatives.


Students will be able to

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


Students should already be familiar with

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


Students will not cover

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

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.