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Hi, I've got the following problem:
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
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