taylor series in matlab
조회 수: 2 (최근 30일)
이전 댓글 표시
Given the function: 5 4 2 f (x) = x^5 - 2x^4 + 3x^2- 1
a. Compute the exact derivative of f(x) at x = 2.1.
b. Estimate the first derivative of f(x) at x = 2.1 using a forward Taylor series approximation with the following step sizes: h [10^-4 10^-3 10^-2 10^-1 10^0 10^1 ]
Using the exact result from Part a, make a plot of the magnitude of the relative error in f '(x)x=2.1 versus step size -- use a log-log plot. From the plot or generated table (part b), determine the value of n (by hand calculation, or typed) in the error expression = h O(h ) . Explain!!!
c. Repeat Part b using a central Taylor series approximation for x f '(x)x=2.1 What is the “order of error” in this case? Plot the error vs. step size for this case in the same plot as above.
답변 (0개)
참고 항목
카테고리
Help Center 및 File Exchange에서 Linear and Nonlinear Regression에 대해 자세히 알아보기
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!