# Lesson Plan: Definition of the Derivative Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to calculate the derivative of a function using the formal definition of the derivative as a limit.

#### Objectives

Students will be able to

- understand that the derivative of a function at a point represents the slope of the tangent to the function at this point,
- calculate the derivatives of polynomial functions using the definition of a derivative in terms of a limit,
- calculate the derivatives of other algebraic functions, such as radical functions or rational functions with 1 as a numerator, using the definition of a derivative in terms of a limit,
- identify the derivative notations (including prime and Leibniz’s notation).

#### Prerequisites

Students should already be familiar with

- evaluating functions,
- finding the domain and range of functions,
- graphing functions,
- finding limits.

#### Exclusions

Students will not cover

- finding the derivative using the power rule for derivatives.