Numerical differentiation and integration is a technique for performing differentiation and integration when you do not know the function a priori, when you treat the function as a black box, or when analytical (or symbolic or closed-form) differentiation and integration of the function is not possible. This technique approximates a function by using many linear functions, each one a tiny interval of the function domain. In fact, piecewise linear approximation of a function is the very foundation ...
6. Numerical Differentiation and Integration
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