Calculate the first and second order numerical derivative of the following function for the value x=5, using the forward difference method and taking the step size of h=0.01. Find the relative error value for each result. f(x)= Ln(x)
Calculate the first and second order numerical derivative of the following function for the value x=5, using the forward difference method and taking the step size of h=0.01. Find the relative error value for each result. f(x)= Ln(x)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Calculate the first and second order numerical derivative of the following function for the value x=5, using the forward difference method and taking the step size of h=0.01. Find the relative error value for each result.
f(x)= Ln(x)
Note: If we solve this derivative analytically, we get ?′(5)=0.2 ?? ?′′(5)=−0.04.
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