Plot multivariable function, find critical points
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i need to plot a multivariable (x1,x2) function f_a in matlab, and find its critical points. I plotted it, but in order to find the critical points, i need to set the partial derivatives to zero then solve. when i try setting the partial derivatives to zero using diff(f_a,x1),it gives me an error.
[x1,x2] = meshgrid(-5:.2:5);
f_a = x1.^2 + x2.^2 +2.*x1.*x2;
figure(1)
surf(x1,x2,f_a)
fa1=diff(f_a,x1)
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Star Strider
2018년 1월 18일
Use the gradient function to calculate the derivative.
Try this:
[x1,x2] = meshgrid(-5:.2:5);
f_a = x1.^2 + x2.^2 +2.*x1.*x2;
fa1 = gradient(f_a, 0.2, 0.2); % Derivative
zv = contour(x1,x2,fa1, [0; 0]); % Critical Points
figure(1)
surf(x1,x2,f_a)
hold on
plot3(zv(1,2:end), zv(2,2:end), zeros(1,size(zv,2)-1), 'r', 'LineWidth',2)
hold off
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Star Strider
2018년 1월 19일
‘what do the 0.2s represent?’
They are the differences between the consecutive values of the meshgrid values in each direction.
‘what do the 0s represent?’
They specify that I want the contour function to trace out and return only the contours at 0.
I cannot follow what you are doing in the code you posted.
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