Gradients in 2D and 3D
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For a smooth surface in 3D, representing a function
, the gradient at a point
on
is a vector in the direction of maximum change of
. Also shown is the corresponding contour plot, which is the projection of
onto the
-
plane. The red arrows on the surface and contour plots show the magnitude and direction of the gradient.
Contributed by: Quentin Davis (November 2015)
Open content licensed under CC BY-NC-SA
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