Given the function; f(x) = ( ln(x^2 + 1) ) / x^2 +1 (a)Plot the graph for the function in matlab and estimate the minimum and maximum points. (b)Then use matlab and Newtons method with start value from (a) to estimate the maximum points so that | f' (x_k) / f'' (x)| < 10^-6 ( change of estimate for x-value i iteration k less then 10^-6. )
Given the function; f(x) = ( ln(x^2 + 1) ) / x^2 +1 (a)Plot the graph for the function in matlab and estimate the minimum and maximum points. (b)Then use matlab and Newtons method with start value from (a) to estimate the maximum points so that | f' (x_k) / f'' (x)| < 10^-6 ( change of estimate for x-value i iteration k less then 10^-6. )
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given the function; f(x) = ( ln(x^2 + 1) ) / x^2 +1
(a)Plot the graph for the function in matlab and estimate the minimum and maximum points.
(b)Then use matlab and Newtons method with start value from (a) to estimate the maximum points so that | f' (x_k) / f'' (x)| < 10^-6 ( change of estimate for x-value i iteration k less then 10^-6. )
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