Derivatives Using Limits

12Math39 min

Learning Objective

I can calculate the derivative of a function using limits.

Lesson Flow

Watch Video

11 min

Guided Notes

8 min

Key concepts students will learn:

  • The derivative of a function tells us about the rate of change in that function at a particular input value.

  • The slope of the secant line is rise over run, or f(x) minus f(a) over x minus A; the slope of the tangent line will be the slope of this secant line in the limit of x approaching A.

  • The power rule states that the derivative of xⁿ is equal to n times x^(n-1).

Practice

12 min

4 questions • Multiple choice & Short answer

Exit Ticket

5 min

Use limits to find the derivative of f(x) = 3x² + 2x. Show all steps.

Teacher Guide

Get the complete package:

  • Answer keys for all questions
  • Differentiation strategies
  • Extension activities
  • Printable student handouts