I find this passage [tex] \frac{\partial}{\partial x} = \cos(\phi)\frac{\partial}{\partial \rho } - \frac{\sin(\phi)}{\rho}\frac{\partial}{\partial \phi} [/tex] difficult to understand.(adsbygoogle = window.adsbygoogle || []).push({});

My teacher wrote this as an explanation:

[tex] \frac{\partial V}{\partial x} = \frac{\partial\rho}{\partial x}\frac{\partial V}{\partial \rho} + \frac{\partial\phi}{\partial x}\frac{\partial V}{\partial \phi} + \frac{\partial z}{\partial x}\frac{\partial V}{\partial z} [/tex] *

And then inserting for [tex] \rho [/tex] and [tex] \phi [/tex], which will yield a correct result.

What I don't understand is how * can be correct? To me it seems that the right side of the equation is equal to [tex] 3\frac{\partial V}{\partial x} [/tex]

Please enlighten me.

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# Homework Help: From cartesian to cylindrical

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