Write the python code to estimate f" (1) using numerical differentiation for f(x) = lnz. Evaluate your derivative using steplengths h = 2-k for k = 1,2,3,10. Calculate the errors at each steplength and display the approximate solution and absolute errors in a table. Comment on the accuracy of your solutions as the steplength decreases. Give a reason for your observation.
Write the python code to estimate f" (1) using numerical differentiation for f(x) = lnz. Evaluate your derivative using steplengths h = 2-k for k = 1,2,3,10. Calculate the errors at each steplength and display the approximate solution and absolute errors in a table. Comment on the accuracy of your solutions as the steplength decreases. Give a reason for your observation.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Transcribed Image Text:Write the python code to estimate f" (1) using numerical differentiation
for f(x) = lnr. Evaluate your derivative using steplengths h = 2-k for
k = 1,2,3,... 10. Calculate the errors at each steplength and display
the approximate solution and absolute errors in a table. Comment
on the accuracy of your solutions as the steplength decreases. Give a
reason for your observation.
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