(adsbygoogle = window.adsbygoogle || []).push({}); Partial Differentiation help plz!

Hi, I was wondering if anyone is doing degree level maths who can help me with the following question. Thanks very much!

I was asked to find the first partial derivatives of z (in terms of x and y) with respect to x and y where:

z = e^(uv) where u = x -y and v = xy

The answer I got was:

∂w/∂x = (2xy-y²) e^[(x-y)(xy)]

and ∂w/∂y = (x² - 2xy) e^[(x-y)(xy)]

Can anyone help me confirm if that is right? I've used a particular chain rule i was given in my notes to approach the answer. Thanks again

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# Partial Differentiation help !

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