Linearization

Linearization is an approximation method.


Usage

A function f is given such that f(a) and f'(a) (i.e., the first derivative) are known, but f(x) for some x near a is not known. The linearization of f is used to approximate f(x) as:

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This approximation method works in the multivariate case as well. Partial derivatives are usually notated like fx here. For example, for x near a and y near b...

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CategoryRicottone

Calculus/Linearization (last edited 2025-09-30 13:51:03 by DominicRicottone)