We covered the product rule in maths last lecture, and as part of the derivation of it, we got this line:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\frac{\partial y}{\partial x}=\frac{u \partial v}{\partial x} + \frac{v \partial u}{\partial x} + \frac{\partial u \partial v}{\partial x}[/tex]

And were told that as [tex]x \rightarrow 0[/tex]

[tex]\frac{\partial u \partial v}{\partial x}[/tex] just "goes away".

Can anyone explain why this is so?

(edit: quite pleased with my first attempt at tex :D )

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# Product Rule

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