Google Classroom
GeoGebraGeoGebra Classroom

Directional derivatives and Gradient

This simulation shows the geometric interpretation of the directional derivative of f in the direction of a unit vector u and the gradient vector of f(x,y) at the point P∈. Things to try:
  • Change the function f(x,y).
  • Drag the point P or type specific values on the boxes.
  • Activate box Dir. derivative to show the directional derivative. Change the angle θ by dragging the slider or type an specific value on the box.
  • Use right click and drag the mouse to rotate the 3D view or click on View button.
Note: The blue arrow represents the gradient vector at P.