Given a function(adsbygoogle = window.adsbygoogle || []).push({}); F(x,t) wherexis a function oft, we write thetotal derivativeas

[tex]\frac{dF}{dt}=\frac{\partial F}{\partial x}\frac{dx}{dt}+\frac{\partial F}{\partial t}[/tex]

Now what if we have two parameters,F(x,s,t) wherexis a function of bothsandt. What do we call the following quantities and is there a conventional notation for them?

[tex]\frac{\partial F}{\partial x}\frac{dx}{ds}+\frac{\partial F}{\partial s}[/tex]

[tex]\frac{\partial F}{\partial x}\frac{dx}{dt}+\frac{\partial F}{\partial t}[/tex]

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Does this derivative have a name?

**Physics Forums | Science Articles, Homework Help, Discussion**