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Mathematics lessons for IB® Diploma Programme

Analysis and Approaches | Calculus

Investigating the Derivatives of Some Common Functions

Activity Overview

In this activity, students will investigate the derivatives of sine, cosine, natural log and natural exponential functions by examining the symmetric difference quotient at many points. They develop the idea of the derivative as a function. They gather evidence toward some common derivative formulas. They also use numerical and graphical investigations to form conjectures.

Key Steps

Step 1

Students will develop the idea of the derivative as a function.

Step 2

Students will gather evidence toward some common derivative formulas.

Step 3

Students will use numerical and graphical investigations to form conjectures.