the following function has two minima and two maxima in the interval between 0 and 5. find both minima and both maxima (along with x and y values) using function handles. in matlab

Tags: matlab, function, minima, maxima, plot

main.m
function plot_function
% Define function handle
f = @(x) -0.3*x.^4 + 2.6*x.^3 - 7*x.^2 + 8*x + 10;

% Define interval
x = linspace(0,5);

% Evaluate function handle
y = f(x);

% Plot the function
plot(x,y)
xlabel('x')
ylabel('f(x)')

% Find minima and maxima
[d1, d2] = fminbnd(f,1,2); % finding minima in the interval between 1 and 2
[d3, d4] = fminbnd(f,3,4); % finding minima in the interval between 3 and 4
[d5, d6] = fmaxbnd(f,2,3); % finding maxima in the interval between 2 and 3
[d7, d8] = fmaxbnd(f,4,5); % finding maxima in the interval between 4 and 5

% Display output
fprintf('Minimum 1: x = %f, y = %f\n',d1,f(d1))
fprintf('Minimum 2: x = %f, y = %f\n',d3,f(d3))
fprintf('Maximum 1: x = %f, y = %f\n',d5,f(d5))
fprintf('Maximum 2: x = %f, y = %f\n',d7,f(d7))

end
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To find the minima and maxima, we use the fminbnd() and fmaxbnd() functions with appropriate intervals. The function fminbnd() finds the minimum of a function in a bounded interval, while fmaxbnd() finds the maximum. We display the output using fprintf() statements.

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