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A tutorial explains the derivation and graphical meaning of finite differences (forward, backward and central) for numerical differentiation with numeric and graphical examples using numpy and matplotlib.
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Tutorial Contents:
0:00:20 Theory, graphical explanation and derivation
0:07:26 Example 1: 1st and 2nd derivatives at a given point with the three methods
0:15:17 Example 2: plot of a function and 1st and 2nd derivatives over a given domain.
0:23:07 Example 3: plot of 1st derivative of a function with the three methods vs theoretical solution.
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