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## Main Question or Discussion Point

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"

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

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

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