# September

This and the other months on the “Thru the Year” tab are sequenced to be a bit ahead of where most AP classes are in the month listed. The September page list past post on topics stared near the end of September into October. October’s page has November topics, and so on.

Local Linearity The graphical manifestation of the derivative

Difference Quotient

Difference Quotients I

Difference Quotients II

### Definition of Derivative

The Derivative I

The Derivative II

Derivative Rules I Using the limit definition

Derivative Rules II  the Product Rule

Derivative Rules III  the Quotient Rule

Differentiation Techniques  The definition, basics, product rule, Quotient Rule

The Chain Rule and another The Chain Rule

Implicit Differentiation

Implicit Differentiation  Approaches to teaching about implicit differentiation

At Just the Right Time  A good problem

VIDEOS on The Derivative

VIDEOS on Computing Derivatives

### The Mean Value Theorem

Foreshadowing t he Mean Value Theorem

Fermat’s Penultimate Theorem

Rolle’s Theorem

Mean Numbers

Mean Tables

The Mean Value Theorem I

The Mean Value Theorem II

Darboux’s Theorem

Revised and updated October 19, 2018