f = @(x) exp(x); % define exponential function xi = 1; df = @(x) exp(x); % derivative of exponential is itself fprime_true = df(xi); % evaluate derivative at xi=1 disp(fprime_true) in matlab

To define an exponential function f(x) = exp(x) and its derivative df(x) = exp(x) in MATLAB and evaluate the derivative at xi = 1, you can follow these steps:

main.m
% Define the exponential function
f = @(x) exp(x);

% Define the derivative of the exponential function
df = @(x) exp(x);

% Evaluate the derivative at xi = 1
xi = 1;
fprime_true = df(xi);

% Display the result
disp(fprime_true);
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Running this code will display the value of the derivative of the exponential function f at xi = 1.