MATLAB: How to plot “f(x,y) = x^2 * y^3” and its partial derivative function in matlab

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I am a beginner, so I am unfamiliar with matlab. I am trying to plot a function: f(x, y) =x^2 * y^3" and its partial derivative, but it looks like something wrong. I am also trying another way but it looks absolutely different with a result I got from Google. Please help me. Thank you so much.

Best Answer

x = linspace(-1,1) ; 
y = linspace(-1,1) ;
[X,Y] = meshgrid(x,y) ;
f = X.^2.*Y.^3 ; 
dfdx = 2*X.*Y.^3 ; 
dfdy = 3*X.^2.*Y.^2 ; 
figure ; surf(X,Y,f) ; title('f') ;
figure ; surf(X,Y,dfdx) ; title('df/dx') ;
figure ; surf(X,Y,dfdy) ; title('df/dy') ;

Related Solutions

MATLAB: How to plot “f(x,y) = x^2 * y” function in matlab

Try this:

x = linspace(-2.0, 2.0, 50);
y = linspace(-2.0, 2.0, 50);
[xm, ym] = meshgrid(x, y);
fxy = xm.^2 .* ym;
surf(fxy);
% Enlarge figure to full screen.
set(gcf, 'units','normalized','outerposition',[0 0 1 1]);

It gives you almost exactly what you want. You just have to rotate the viewpoint of the axis. I trust you can do this.

MATLAB: Derivative firstly x then y

Using symbolic toolbox, you can do it like this

syms x y
f = (x^28)/(y^2+x^2)+(sqrt(exp(x*y)+abs(-4*y)));
fx = diff(f, x); % derivative w.r.t. x
fy = diff(f, y); % derivative w.r.t. y

Output from live script

disp(f)

disp(fx)

disp(fy)

Best Answer

Related Solutions

MATLAB: How to plot “f(x,y) = x^2 * y” function in matlab

MATLAB: Derivative firstly x then y

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