Fun With... Gradients! :: f(x,y) = sqrt( 16 - x^2 - y^2 )

mathworld info about gradients


- Note: This applet demonstrates gradients for only one f(x,y), a half sphere with radius 4.
- Other Note: This is a top down view of the graph, with x going left-right, y going top-bottom.
- A gradient is really just an x,y vector with values of Fx and Fy (directional derivatives).
- The norm of the gradient is equal to the directional derivative in the direction of the gradient.
- Our half sphere is symmetrical; lock your x/y radius from the center and watch Fu...