find the maximum of sin(x)*e^-x in matlab

To find the maximum of sin(x)*e^-x in Matlab, we can use the built-in optimization function fminbnd combined with the function handle for our objective function.

Here's an example code snippet:

main.m
% Define objective function
f = @(x) -sin(x)*exp(-x);

% Set bounds for optimization search
LB = 0;
UB = 10;

% Find maximum using fminbnd
[xmax, ymax] = fminbnd(f, LB, UB);

% Print results
fprintf('Maximum of sin(x)*e^-x is %f at x=%f\n', -ymax, xmax);
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This code sets up the objective function f(x), defines the lower and upper bounds for our search area, and then calls fminbnd to find the maximum value and corresponding x-value. Finally, the code prints out the result.

Note that we negate the result of fminbnd since we want to find the maximum, but fminbnd finds the minimum.