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how to plot the gradient of a equation having specific region?

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hello i have the equation
f(x,y)=-5x^3+4yx+6y^3+1
the gradient with respect to x is
f(x)=-15*x^3+4*y
how to plot the gradient having area
-2<x<2, -2<y<2

Answers (2)

Torsten
Torsten on 18 Oct 2022
x = -2:0.1:2;
y = x;
[X,Y] = meshgrid(x,y);
f = @(x,y) -15*x.^2+4*y;
surf(X,Y,f(X,Y))

Star Strider
Star Strider on 18 Oct 2022
Perhaps this —
syms x y
f(x,y)=-5*x^3+4*y*x+6*y^3+1
f(x, y) = 
Gf = gradient(f,x)
Gf(x, y) = 
figure
fsurf(Gf, [-2 2 -2 2])
xlabel('X')
ylabel('Y')
.

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