E11.1, E11.2: Personally, I feel that every person that first learns these methods ought to write out the gradient descent formulas via the calculus; however, I do not recommend doing that each time you want to solve one of these interpolation problems. There are excellent computational toolboxes for optimization (e.g., Matlab, or others available for free on the web), and these should be used so that you can get to solutions faster.
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