# Theorem that says partial and ordinary derivatives are mixed?

1. Sep 26, 2009

### Nusc

F(q_1,...,q_n,t)

$$\frac{d}{dt}\frac{\partial}{\partial \dot{q}} \frac{dF}{dt} = \frac{\partial}{\partial q} \frac{dF}{dt}$$

what's the theorem that says partial and ordinary derivatives are mixed?

2. Sep 27, 2009

### HallsofIvy

Staff Emeritus
Re: Theorem

That's, not, strictly speaking, a mathematics question. The equation you have is a specific physics or fluid dynamics formalism. It's not a matter of a "theorem", it is a matter of notation. And, again, it is physics notation, not mathematics.