If possible use matlab for these calculations

The aim of this lab is to test the accuracy of several finite difference formulas for computing derivatives of functions numerically. Consider the function f(x)= (1+x?)" defined on (-5,5). Choose equally-spaced grid points x:=-5+ih, where i = 0...,n and h=10 with n=11, 21, 51, 101. (1) Numerically approximate f'(x) for i = 1,...n-1 using forward difference, backward difference, central difference approximations. Plot the results on a graph. (2) What is the error between the numerical solution from part (1) and the exact solution? Take the maximum of the absolute value of the errors. Plot the results versus n. How does the error scale with n? Compare the result to the error estimate. Is the actual error about the same size as the error estimate? Explain your answer. (3) Numerically approximate f "(x;)using the central difference formula at the interior grid points i = 1,...n-1. Plot the result on a graph. (4) What is the error between the numerical solution from part (3) and the exact solution? Take the maximum of the absolute value of the errors. Plot the results versus n. How does the error scale with n? Compare the result to the error estimate. Is the actual error about the same size as the error estimate? Explain your answer. (5) Calculate the derivative f'o) using the forward difference formula: f(10-N)-f(0) Dxf(0) - for N - 1, 2, 5, 10, 20, 40 and describe what happens. Justify your observations 10- The aim of this lab is to test the accuracy of several finite difference formulas for computing derivatives of functions numerically. Consider the function f(x)= (1+x?)" defined on (-5,5). Choose equally-spaced grid points x:=-5+ih, where i = 0...,n and h=10 with n=11, 21, 51, 101. (1) Numerically approximate f'(x) for i = 1,...n-1 using forward difference, backward difference, central difference approximations. Plot the results on a graph. (2) What is the error between the numerical solution from part (1) and the exact solution? Take the maximum of the absolute value of the errors. Plot the results versus n. How does the error scale with n? Compare the result to the error estimate. Is the actual error about the same size as the error estimate? Explain your answer. (3) Numerically approximate f "(x;)using the central difference formula at the interior grid points i = 1,...n-1. Plot the result on a graph. (4) What is the error between the numerical solution from part (3) and the exact solution? Take the maximum of the absolute value of the errors. Plot the results versus n. How does the error scale with n? Compare the result to the error estimate. Is the actual error about the same size as the error estimate? Explain your answer. (5) Calculate the derivative f'o) using the forward difference formula: f(10-N)-f(0) Dxf(0) - for N - 1, 2, 5, 10, 20, 40 and describe what happens. Justify your observations 10