WOLFRAM|DEMONSTRATIONS PROJECT

Partial Derivatives in 3D

f(x, y) =

1

2



2

x

-

2

y



x

0

y

0

surface opacity

fixed y plane
show x-partial
fixed x plane
show y-partial
show surface
show values

f(x, y) =

1

2



2

x

-

2

y



Use this Demonstration to illustrate partial derivatives with respect to

x

and

y

. Choose which cross section to highlight and whether to show the tangent line, then adjust the location of the fixed point. Adjusting the opacity of the surface helps see the curves better.