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 (00:03:00)
From Lecture 9 of 18.01 Single Variable Calculus, Fall 2006
Clip 1: The Formula for Quadratic Approximation
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» Clip 2: Explaining the Formula by Example (00:04:00)
From Lecture 10 of 18.01 Single Variable Calculus, Fall 2006
Clip 2: Explaining the Formula by Example
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» Clip 3: Quadratic Approximation at 0 for Several Examples (00:05:00)
From Lecture 9 of 18.01 Single Variable Calculus, Fall 2006
Clip 3: Quadratic Approximation at 0 for Several Examples
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Worked Example
Comparing Quadratic Approximations and Calculator Computations
Recitation Video
Quadratic Approximation of an Exponential Function
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