Lesson Plan: Power Rule of Derivatives Mathematics • Higher Education

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to use the power rule of derivatives and the derivative of a sum of functions to find the derivatives of polynomials and general power functions.

Objectives

Students will be able to

  • relate the power rule of derivatives to the limit definition of derivatives,
  • use the power rule of derivatives to differentiate functions of the form 𝑓(𝑥)=𝑥,
    • where 𝑛 is a positive or negative integer,
    • where 𝑛 is a positive or negative fraction,
  • understand how to apply the power rule of derivatives to functions involving sums and/or differences of terms,
  • understand how to apply the constant multiple rule of derivatives.

Prerequisites

Students should already be familiar with

  • the limit definition of derivatives.

Exclusions

Students will not cover

  • finding (or approximating) derivatives using tables or graphs,
  • functions involving products or quotients of other functions,
  • the product rule,
  • the quotient rule,
  • the chain rule.

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