The applet shows the tangent plane at [color=#1551b5]point P[/color]. [b]Exercise[/b] Start the animation. Stop the animation, move the [color=#1551b5]blue point P[/color] (in the xy-plane) and note how the tangents in x and y direction change. Select different views [i]View towards xOy plane, View towards xOz plane[/i] and [i]View towards yOz plane[/i] to study the area and the tangents. Analyse other functions in regard to their tangents in x and y direction Examples: f(x,y) = x*y f(x,y) = sin(x+y) f(x,y) = sin(x) sin(y)
Andreas Lindner