Interactive calculator showing the gradient $\nabla f$ of a function $f(x,y)$ as a vector field
The gradient ∇f of a scalar function f(x,y) is a vector field pointing in the direction of steepest ascent at each point, with magnitude equal to the rate of increase. This calculator lets you enter a function and visualize both the surface z=f(x,y) and its gradient field, with arrows showing the direction and magnitude of ∇f in the domain. Parameters a,b,c are available for interactive exploration.
Controls: Click and drag to orbit, scroll to zoom.
