Consider the function f(x) = defined on x+1 [-10,10]. We define x = -10 + ih,...

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Consider the function f(x) = defined on x+1 [-10,10]. We define x = -10 + ih, where i = 0,..., n and h = 20 with n = 11, 21, 41, 81. Write n 1. a MATLAB script to 1. Calculate a numerical approximation of f'(x) for i = 1, ..., n 1 using backward difference formula. 2. Calculate the maximum of the absolute value of the errors with n = 11, 21, 41, 81. 3. Plot the results versus n. 4. Calculate a numerical approximation of f" (xi) for i = 1, ..., n 1 using mid- point formula. 5. Calculate the maximum of the absolute value of the errors with n = 11, 21, 41, 81. 6. Plot the results versus n. Consider the function f(x) = defined on x+1 [-10,10]. We define x = -10 + ih, where i = 0,..., n and h = 20 with n = 11, 21, 41, 81. Write n 1. a MATLAB script to 1. Calculate a numerical approximation of f'(x) for i = 1, ..., n 1 using backward difference formula. 2. Calculate the maximum of the absolute value of the errors with n = 11, 21, 41, 81. 3. Plot the results versus n. 4. Calculate a numerical approximation of f" (xi) for i = 1, ..., n 1 using mid- point formula. 5. Calculate the maximum of the absolute value of the errors with n = 11, 21, 41, 81. 6. Plot the results versus n.

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Heres a MATLAB script that implements the described calculations and plots matlab Function definitio... View the full answer