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Please show clear code in MATLAB! (7) [Programming] Write a computer program to compute the derivative of a function at a point by using the
Please show clear code in MATLAB!
(7) [Programming] Write a computer program to compute the derivative of a function at a point by using the central difference formula 2h Now let fo denote the approximate value of f'(o) by using the central difference formula with h, and fh/(o) denote the approximate value with h/2. Set the corresponding errors. If the central difference formula is an approximation of order O(h2) then we must have for some constant C >0, and hence eh Ch2 Test this claim using your program for f(x) the following history of convergence table sinx at the point 20 /3, and forming h e (eh)/(eh/2) 1/2e/ei/2) 1/4 e1/4(e1/)/(e1/4) 1/S (e)l/(es) 1/16 e1/16es)/e/16)
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