plot 𝑓(𝑥,𝑦)=𝑥^𝑦 in matlab

To plot the function 𝑓(𝑥,𝑦) = 𝑥^𝑦 in MATLAB, you can use the surf function, which creates a 3D surface plot.

Here's an example code snippet:

main.m
x = -10:0.1:10;
y = -10:0.1:10;

[X, Y] = meshgrid(x, y);
Z = X .^ Y;

surf(X, Y, Z);
xlabel('x');
ylabel('y');
zlabel('f(x, y)');
title('Plot of f(x, y) = x^y');
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Make sure to adjust the range of x and y variables, and the resolution (0.1) according to your needs. The resulting plot will show the function as a 3D surface.

Note: Since the function 𝑥^𝑦 is not defined for negative values of x when y is not an integer, you might want to restrict the range of x and y accordingly or handle these cases separately.