A matter regarding Leibniz notation

Dear mathematicians out there,

This is just a clarification regarding an identity I encountered that I couldn't find elsewhere on the Internet. In general, is it true that

or is this just the Leibniz notation playing tricks on us?

Thanks in advance.

Re: A matter regarding Leibniz notation

*Never mind.* I answered my own question. You just take the chain rule

and divide both sides by dt/dx.

Oh well, I'll be all alone here on this thread then.

Re: A matter regarding Leibniz notation

Yes, it's true. You need to remember that . Using this property we have