Topic: The Derivative from First Principles

Vertical Tangents and Unbounded Difference Quotients

The One-Sided Derivative Test

The Integer-Power Derivative from the Binomial Theorem

The Increment Form of the Difference Quotient

The Absolute-Value Difference Quotient at Its Corner

Square-Root Derivatives at Interior Points

Showing a Difference Quotient Limit Fails by Sequences

Removable Holes and Derivative Existence

Reciprocal Derivatives from First Principles

Rational Function Derivatives at Domain Points