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you want\[\nabla z\over\nabla x\]and\[\nabla z\over\nabla y\]?

if you show me just one of those partial derivatives i'll know how to find the other

do I understand the problem correctly?

I don't think I do since it seems to make no sense to me...

ooooh I see, but you are not given any more info besides
x=f(xy) ?

z=f(xy)

yeah. that's it.

well then I suppose all there is to do is apply the chain rule...

do i let xy =z then use the chain rule?

okay I am confused again,\[z=f(xy)\]as in "z equals a function of x times y" correct?

yeah

oh wait I invented a z, sorry

okay but this is a multiple choice question and my options are like f'(x)f(y) or xf '(xy) ect...

okay let me rethink this for a sec...

oh I see

would it be f ' (x) f(y) ?

that's correct.

correct as in they're not partial derivatives for my choices of answers

this would make sense, you can check it with a function like z=sin(xy), z=(xy)^2, whatever

okay thanks!

welcome!