For this demonstration, choose a point (r0,θ0)
in
the domain
using the white hotspot in the window labeled "Domain". The
second window graphs the function f(r,θ) and the r- and θ-slice curves
at the point f(r0,θ0). The tangent lines to each
of the slice
curves at
f(r0,θ0) 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(r0,θ0).