Question: Write a computer code by MATLAB to implement the extrapolation procedure based on the centered difference formula for f'(x). Use h = 1/8, 1/16, 1/32

Write a computer code by MATLAB to implement the extrapolation procedure based on the centered difference formula for f'(x). Use h = 1/8, 1/16, 1/32 and 1/64, and output an 8th order approximation. Test the algorithm on the function sin(x^2 + (1/3)x) at x=0. Show the intermediate values of the extrapolation D(m,n) in a table. Please attach the code in detail.

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