Topic: The Derivative from First Principles

Derivatives of Linear Functions from the Definition

Derivatives at Endpoints of a Domain

Derivative as a Limit of Secant Slopes

Cusps and Opposing Infinite Slopes

Cubic Derivatives with Difference Quotients

Corners and Unequal One-Sided Slopes

Continuity Does Not Guarantee Differentiability

Common Errors in First-Principles Derivatives

Classifying Differentiability in Piecewise Examples

Classifying Differentiability of Absolute Powers