Chapter 02.03 Divided Difference Approach

Differentiation of Discrete Functions (CHAPTER 02.03)

First Derivative of Functions Given as Discrete Points

Summary

Learn how you can find the numerical approximation of the first derivative of a discrete function by using the divided difference method, such as the forward divided difference, backward divided difference, and the central divided difference.

Learning Objective

After this video, you will be able to estimate the first derivative of discrete functions using different divided difference formulas.

Transcript

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All Videos for this Topic

Divided Difference Approach [YOUTUBE 10:07]

Polynomial Interpolation Method [YOUTUBE 8:09]

Newton’s Divided Difference Polynomial Method: Theory [YOUTUBE 7:45]

Newton’s Divided Difference Polynomial Method: Example [YOUTUBE 8:28]

Complete Resources

Get in one place the following: a textbook chapter, a PowerPoint presentation, individual YouTube lecture videos, worksheets to illustrate the method and its convergence, and multiple-choice questions on Differentiation of Discrete Functions.