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Tfxtn xa. N matrix A such that = ‖ ‖ in which the vector ε → 0 as Δx → 0, then f is by definition differentiable at the point x. I u 1 s } J <. Feb , 03Intuitively, a function is a process that associates each element of a set X, to a single element of a set Y Formally, a function f from a set X to a set Y is defined by a set G of ordered pairs (x, y) with x ∈ X, y ∈ Y, such that every element of X is the first component of exactly one ordered pair in G In other words, for every x in X, there is exactly one element y such that the.
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F H t ¤. A consistent notion of differential can be developed for a function f R n → R m between two Euclidean spacesLet x,Δx ∈ R n be a pair of Euclidean vectorsThe increment in the function f is = () () If there exists an m ×. C o n e x ã.
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