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Combine Contour Plot and Quiver Plot

This example shows how to combine a contour plot and a quiver plot using the hold function.

Plot 10 contours of $x e^{-x^2-y^2}$ over a grid from -2 to 2 in the x and y directions.

[X,Y] = meshgrid(-2:0.2:2);
Z = X .* exp(-X.^2 - Y.^2);

Calculate the 2-D gradient of Z using the gradient function. The gradient function returns U as the gradient in the x-direction and V as the gradient in the y-direction. Display arrows indicating the gradient values using the quiver function.

[U,V] = gradient(Z,0.2,0.2);
hold on
hold off

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