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GeoGebraGeoGebra Classroom

Exploring Directional derivatives and Gradient

This simulation shows the geometric interpretation of the directional derivative of ff in the direction of a unit vector u and the gradient vector of f(x,y) at the point P∈.
  • For better view, rotate the 3D view or click on View button.
Things to try:
  • 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.
Note: The blue arrow represents the gradient vector at P.