Tan_plane: Tangent Plane Expression & Display

Calculates the tangent plane of a Surface at point Xo and plots the surface, plane and Xo!

Description

What it does?: You give it a surface (explicit, parametric or implicit form) and a point on it and you'll get the equation of the tangent plane (in the same form as the surface is) at that point and besides you'll see the surface, the plane and the tangential point Xo.
See <help tan_plane> for usage.
Useful for educational purposes or just for fun! ;)

Enjoy it ...!

• Required Products: Symbolic Math Toolbox
• MATLAB release: MATLAB 7.6 (R2008a)

[Felipe G. Nievinski]

 

[Felipe G. Nievinski]

You might wish to consider replacing l.37,
    %fo = subs(f, X, Xo); % f evaluated at Xo
by
    fo = subs(subs(f, X(1),Xo(1)), X(2),Xo(2));
and l.46,
    dF = subs(jacobian(f, X), X, Xo);
by
    dF = subs(subs(jacobian(f, X), X(1),Xo(1)), X(2),Xo(2));
With these few changes tan_plane would work with older versions of Matlab (e.g., R2007b).

[Gustavo Morales]

Thanks Felipe!!! Lets see what Matlab 2010 bring us!!!

[Robert]

hi guy. when i launch your code matlab display "error in tan_plane at 27 switch type".