Lesson Plan: Critical Points and Local Extrema of a Function | Nagwa Lesson Plan: Critical Points and Local Extrema of a Function | Nagwa

# Lesson Plan: Critical Points and Local Extrema of a Function Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find critical points of a function and check for local extrema using the first derivative test.

#### Objectives

Students will be able to

• recall the definition of a critical point of a function,
• find the critical points of a function,
• understand that critical points can be classified as minima, maxima, and points of inflection,
• classify a critical point as a local minimum or maximum using the first derivative test.

#### Prerequisites

Students should already be familiar with

• differentiation (including the chain, product, and quotient rules),
• the concept of continuity (not necessarily the formal definition).

#### Exclusions

Students will not cover

• absolute extrema,
• infimum and supremum,
• second derivatives.