Education Technology

The Exponential Derivative

Subject Area
Math: Calculus: Derivatives
Math: Calculus: Limits of Functions
Math: AP Calculus: AP Calculus
Level
9-12
Activity Time
45 Minutes
TI Calculator
TI-89 / TI-89 Titanium
Resource Types
Lessons

The Exponential Derivative

Activity Overview

Students will derive the derivative of the function y = ex, work with the derivative of both y = eu and y = ax, and look at the tangent to the graph of y = ex. In the process, the students will have to find the limit as h approaches 0 of (eh?1)/ h.

Before the Activity

Download the attached PDF and look over the information on the first page. Distribute the Student Worksheet for use during the activity.

During the Activity

Discuss the material from the activity pages with students as needed.

After the Activity

Encourage students to summarize what they have learned from completing the activity.

Subject Area
Math: Calculus: Derivatives
Math: Calculus: Limits of Functions
Math: AP Calculus: AP Calculus
Level
9-12
Activity Time
45 Minutes
TI Calculator
TI-89 / TI-89 Titanium
Resource Types
Lessons
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