# Activities

• • ##### Subject Area

• Standard: ACT - Year 12 Certificate: Mathematics Methods: Mathematics Methods
• Standard: VCE: Mathematical Methods: Mathematical Methods
• Standard: WACE: Calculus: Calculus

• ##### Author Aust Senior

45 Minutes

• ##### Device
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™ CAS
TI-Nspire™ CAS Navigator™ NC System

3.9

• ##### Report an Issue

A Special Function

#### Activity Overview

Finding the derivative of a polynomial is relatively straight forward, but what about other functions? This activity explores a function with a special property; “the derivative of the function is the same as the original function”! The problem is initially explored using a dynamic line where changes to the line immediately affect the derivative of the line. Manipulating this line provides for instant feedback helping students determine the likely shape of such a function. Calculations involvin

#### Objectives

Establish and use the formula d(ex)/dx=ex [ ACMMM100 ]