Derivative from First Principles Demo by Sam Vallentine

This example demonstrates the geometric derivation of a function's derivative at a point using the concept of limits, visually showing how the slope of the tangent changes. Key math concepts include derivative definition, tangent function, limits, inequalities, and Pythagorean theorem. GeoGebra commands like segment, tangent, and slope calculation are used to dynamically adjust points and observe trends. Suitable for high school calculus introduction to help students understand the geometric meaning of derivatives.