Lesson Plan: Convexity and Points of Inflection | Nagwa Lesson Plan: Convexity and Points of Inflection | Nagwa

Lesson Plan: Convexity and Points of Inflection Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to determine the convexity of a function as well as its inflection points using its second derivative.

Objectives

Students will be able to

  • understand how the second derivative of a function relates to its convexity and how to apply the second derivative test,
  • find the intervals over which a function is convex upwards or convex downwards,
  • understand the relationship between inflection points and convexity,
  • find the inflection points of a function.

Prerequisites

Students should already be familiar with

  • differentiation,
  • finding critical points,
  • the concept of continuity (not necessarily the formal definition).

Exclusions

Students will not cover

  • analysis in cases where the second derivative does not exist.

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