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]

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# Does this derivative have a name?

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