directional derivative
A function which measures the rate of change of some other function at any point in a…A function which measures the rate of change of some other function at any point in a particular direction; formally, the directional derivative of a scalar function f( mathbf x)=f(x_1,x_2,…,x_n) along a vector mathbf v=(v_1,…,v_n) is the function ∇_(mathbf v)f defined by the limit ∇_(mathbf v)f( mathbf x)= lim _(h→0)(f( mathbf x+h mathbf v)-f( mathbf x))/h.
Meaning
1 sensesA function which measures the rate of change of some other function at any point in a particular direction; formally, the directional derivative of a scalar function f( mathbf x)=f(x_1,x_2,…,x_n) along a vector mathbf v=(v_1,…,v_n) is the function ∇_(mathbf v)f defined by the limit ∇_(mathbf v)f( mathbf x)= lim _(h→0)(f( mathbf x+h mathbf v)-f( mathbf x))/h.
Translations
5 languagesForms
plural: directional derivatives| Singular | directional derivative |
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See also
neighbours in the dictionaryDictionary text adapted from Wiktionary (Wiktionary contributors, CC BY-SA 4.0) and Open English WordNet / Princeton WordNet (CC BY 4.0, WordNet License); shared under CC BY-SA 4.0. Example sentences and recordings are credited where they appear.