derive v(t) in matlab

main.m
% Define function for v(t)
function v = vt(t)
    v = sin(2*pi*t) + exp(-t/5);
end

% Specify time interval and number of points
t_start = 0; t_end = 15; npts = 1000;
t = linspace(t_start, t_end, npts);

% Compute numerical derivative of v(t)
dt = t(2) - t(1);
v_dot = diff(vt(t))/dt;

% Plot v(t) and its derivative
figure(1); clf;
plot(t, vt(t), 'b-', 'LineWidth', 2);
xlabel('Time (s)'); ylabel('v(t)');
title('Function v(t)');
grid on;

figure(2); clf;
plot(t(2:end), v_dot, 'r-', 'LineWidth', 2);
xlabel('Time (s)'); ylabel('dv/dt');
title('Derivative of v(t)');
grid on;
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