### 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