use x and y · functions: sin, cos, tan, sqrt, log, exp, abs, atan · ^ for power · pi, e
Tangent Plane · Linear approximation
Probe (a, b) =
(0.00, 0.00)
f(a, b) =
0.00
fx(a,b) =
0.00
(slope in x)
fy(a,b) =
0.00
(slope in y)
Example point: (a+0.3, b+0.3)
true f =
—
predicted =
—
error =
—
surface z = f(x, y)
tangent plane (flat approximation)
fx rail — slope in x-direction
fy rail — slope in y-direction
error tube — gap between plane and surface
drag to rotate · scroll to zoom
Move the probe closer to the surface peak and watch the error shrink — zoom in and the plane fits perfectly.