For this demonstration, choose a point (x0,y0)
in
the domain
using the white hotspot in the window labeled "Domain: f(x,y)". The
second window graphs the function f(x,y) and the x- and y-slice curves
at the point f(x0,y0). The tangent lines to each
of the slice
curves at
f(x0,y0) are also drawn, and it is clear that
together they determine a plane. This plane, which is shown in yellow,
is tangent to the graph at f(x0,y0).