Exact Differentials

Relationships in physical chemistry often involve differentials, like dx. These are infinitesimally small version of a change like Δx.
For physical chemistry, we often need to know the differential, df, for a function like f(x,y) that depends on other variables.

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[@PhysicalChemistry]

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[@PhysicalChemistry]

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the graph was really helpful in understanding the meaning

[@PhysicalChemistry]

A picture is worth a thousand words... and sometimes at least a few equations

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amazing! onto inexact differentials

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[@PhysicalChemistry]

That seems excessive, but you're very welcome

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[@PhysicalChemistry]

A picture is worth a thousand words!

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[@PhysicalChemistry]

I'm glad you found it helpful

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[@PhysicalChemistry]

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[@PhysicalChemistry]

I'm glad you consider your 10 minutes well spent. Sorry, though, I don't know what organic channel to recommend.

[@why__bro__why]

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[@PhysicalChemistry]

@@why__bro__why Sorry, I don't even know of any organic channels. I haven't watched any or tried to find any. Maybe other viewers can make suggestions

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[@PhysicalChemistry]

My pleasure

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[@PhysicalChemistry]

You're welcome. If the graph was useful, then you were already asking the right questions

[@sahilbaori9052]

Hey the video was extremely helpful. Just one doubt .. In my classes we were introduced to exact differentials in context of state functions, (dF(dF/dx)y)x = (dF(dF/dy)x)y where x and y are in subscripts denoting they are constant for that partial derivative. Are these both the same things?

[@PhysicalChemistry]

Are you perhaps thinking of partial derivatives? That notion, with the subscript -x indicating that the variable x is held constant, is commonly used for partial differentiation. That's a different thing than a differential, but they're related It's true, as you write, that the order of differentiation doesn't matter