I asked a question a few weeks ago about 'splitting' the derivative. The thread can be found https://www.physicsforums.com/showthread.php?p=3581188#post3581188"(adsbygoogle = window.adsbygoogle || []).push({});

The answer to why it can not be split is because dx does not exist, it is simple a notation and not a fraction.

However, I just started Differentials and Errors, and the paper I read said.

The ratio of the two derivatives is actually the derivative of the function.

[itex]f'(x)=\frac{dy}{dx}[/itex]

and the relationship between the two differentials can be given by

[itex]dy=f'(x)dx[/itex]

Is this not 'splitting' the derivative?

Thank you

**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!

# Differentials and Errors

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