Sketch the graph using matlab

Draw the graph of f and its tangent plane at the given point. (Use your computer algebra system both to compute the partial derivatives and to graph the surface and its tangent plane.) Then zoom in until the surface and the tangent plane become indistinguishable. f(x, y)=[xy sin(x-y)]/[1+x^2+y^2], and the given point(1, 1, 0)

Answer 1

[Sulaymon Eshkabilov]

Start with fimplicit(@(x, y)...)

[Ta Duc]

Could u pls specify your answer 😀

[Ta Duc]

i'm a chemical engineering so i'm not good at this.

Answer 2

[Sulaymon Eshkabilov]

f=@(x, y)(x.*y.*sin(x-y)./(1+x.^2+y.^2));
syms x y
dFxy = diff(f,x)+diff(f, y);
fimplicit3(f); hold on; fimplicit(dFxy, 'k', 'linewidth', 2)
shg

[Ta Duc]

Can u explain for me why the code you give me showed the different graph with the answer key?

[Ta Duc]

@Sulaymon Eshkabilov Hello?