Here is a project I created for myself (some time ago) to help visualize the gradient as a vector field. https://github.com/GistNoesis/VisualizeGradient https:

Here is a project I created for myself (some time ago) to help visualize the gradient as a vector field. https://github.com/GistNoesis/VisualizeGradient https://github.com/GistNoesis/VisualizeGradient Probably best used as a support material with someone teaching along the way the right mental picture one should have. A great exercise is to have the student (or yourself) draw this visualization with pen and paper, (both in 2d and 3d), for various functions. And you can make the connection to the usual "tangent" on the curve of a derivative.