how to find the maximum value between two points in a continuous function in matlab

To find the maximum value between two points in a continuous function in Matlab, you can first define your function and then use the fminbnd function to find the minimum within the given interval. Since the maximum value is simply the negation of the minimum value, you can take the negation of the minimum value to find the maximum value. Here is an example code snippet:

main.m
% Define your function
f = @(x) sin(x) - x.^2/10;

% Set the interval where you want to find the maximum value
x_start = 0;
x_end = 10;

% Use fminbnd to find the minimum within the given interval
[xmin, fmin] = fminbnd(f, x_start, x_end);

% Take the negation of the minimum value to find the maximum value
fmax = -fmin;

% Print the maximum value
disp(['The maximum value between ', num2str(x_start), ' and ', num2str(x_end), ' is: ', num2str(fmax)])
453 chars
16 lines

In this example, the f function is defined as sin(x) - x.^2/10. You can replace this with your own function. The x_start and x_end variables define the interval where you want to find the maximum value. In the last line of the code snippet, the maximum value is printed to the console.