===== Vector derivative =====
==== Function ====
| @#55EE55: postulate   | @#55EE55: $x$ |

>todo

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=== Discussion ===

${\bf x}(t)=\sum_{i=1}^nx^i(t){\bf e}_i(t)$

$\dfrac{\partial }{\partial t}{\bf x}(t)=\sum_{i=1}^n\left(\left(\dfrac{\partial }{\partial t}x^i(t)\right){\bf e}_i(t)+x^i(t)\dfrac{\partial }{\partial t}{\bf e}_i(t)\right)$

https://en.wikipedia.org/wiki/Fictitious_force

=== Reference ===
Wikipedia: [[https://en.wikipedia.org/wiki/Fictitious_force]]

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=== Context ===
[[Fréchet derivative]]