Hi, I've got the following problem:(adsbygoogle = window.adsbygoogle || []).push({});

Show that if [tex]z = x^nf(u)[/tex]

and [tex]u = y/x[/tex]

then [tex]x\frac{\partial{z}}{\partial{x}} + y\frac{\partial{z}}{\partial{y}} = nz[/tex]

I know partial differentiation fairly well, but I've never seen one laid out like this before, and am not too sure how to get started (i.e. find [tex]\frac{\partial{z}}{\partial{x}}[/tex]. I don't really know how to treat the [tex]f(u)[/tex]. Any pointers?

Thanks,

Toppers

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# Partial differentiation of a function

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