Overview
Linear approximation uses the first derivative to find the straight line that most closely resembles a curve at some point. Quadratic approximation uses the first and second derivatives to find the parabola closest to the curve near a point.
Lecture Video and Notes
Video Excerpts
Clip 1: The Formula for Quadratic Approximation
Clip 2: Explaining the Formula by Example
Clip 3: Quadratic Approximation at 0 for Several Examples
Worked Example
Comparing Quadratic Approximations and Calculator Computations
