\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2007c.00384}
\itemau{Huang, Huang-Nan; Marcantognini, Stefania; Young, Nicholas}
\itemti{Chain rules for higher derivatives.}
\itemso{Math. Intell. 28, No. 2, 61-69 (2006).}
\itemab
From the introduction: We define a notion of higher-order directional derivative of a smooth function and use it to establish three simple formulae for the n-th derivative of the composition of two functions. These three "higher order chain rules" are alternatives to the classical Faà di Bruno formula. They are less explicit than Faà di Bruno's formula but are much simpler and avoid Diophantine or combinatorial complications.
\itemrv{~}
\itemcc{I45}
\itemut{chain rule; directional derivatives}
\itemli{doi:10.1007/BF02987158}
\end