Differentiation of Continuous Functions (CHAPTER 02.02)
Differentiation of Continuous Functions – Second Derivative: Theory
Summary
Learn how you can use the Taylor series to derive finite difference formulas for the second derivative of a function.
Learning Objective
After watching this video, you will be able to derive finite difference formulas for higher-order derivatives using the Taylor series.
Transcript
Read the transcript
Annotated Slides
All Videos for this Topic
Forward Divided Difference: Part 1 of 2 [YOUTUBE 9:28]
Forward Divided Difference: Part 2 of 2 [YOUTUBE 4:41]
Backward Divided Difference:Part 1 of 2 [YOUTUBE 9:08]
Backward Divided Difference: Part 2 of 2[YOUTUBE 5:32]
Central Divided Difference [YOUTUBE 9:53]
Higher Order Derivative Divided Difference: Theory [YOUTUBE 8:37]
Higher Order Derivative Divided Difference: Example [YOUTUBE 6:04]
Accuracy of Divided Difference Formulas: Part 1 of 2 [YOUTUBE 8:16]
Accuracy of Divided Difference Formulas Part 2 of 2 [YOUTUBE 3:51]
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 Continuous Functions.