= Linearization = '''Linearization''' is an approximation method. <> ---- == Usage == A function ''f'' is given such that ''f(a)'' and ''f'(a)'' (i.e., the [[Calculus/Derivative|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: {{attachment:uni.svg}} This approximation method works in the multivariate case as well. [[Calculus/PartialDerivative|Partial derivatives]] are usually notated like ''f,,x,,'' here. For example, for ''x'' near ''a'' and ''y'' near ''b''... {{attachment:bi.svg}} ---- CategoryRicottone