Numerical differentiation

In numerical analysis, numerical differentiation algorithms estimate the derivative of a mathematical function or subroutine using values of the function. Unlike analytical differentiation, which provides exact expressions for derivatives, numerical differentiation relies on the function's values at a set of discrete points to estimate the derivative's value at those points or at intermediate points. This approach is particularly useful when dealing with data obtained from experiments, simulations, or situations where the function is defined only at specific intervals.

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