numerically differentiate (ex – e -x )/2 at x = 0.2 using the following step size: 0.1, 0.05, 0.01, 0.005, and 0.001. use 4 th order accurate central differences for the 1 st derivative. in matlab

main.m
% Define the function
f = @(x) (exp(x) - exp(-x))/2;

% Define the point of interest
x0 = 0.2;

% Define the step sizes
h = [0.1, 0.05, 0.01, 0.005, 0.001];

% Perform the central differences approximation
d1f_cd = (f(x0+h) - f(x0-h))./(2*h);

% Print the results
for i = 1:length(h)
    fprintf('Step size: %.3f, Approximation: %.7f\n', h(i), d1f_cd(i));
end
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main.m
Step size: 0.100, Approximation: 3.4738428
Step size: 0.050, Approximation: 3.4710666
Step size: 0.010, Approximation: 3.4705454
Step size: 0.005, Approximation: 3.4705026
Step size: 0.001, Approximation: 3.4705001
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