Calculate for where f is some differentiable function.

I am not sure if I am doing it right. This is what I have tried so far.

Help please..

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- Oct 22nd 2011, 02:31 PMfreestarPartial Derivatives
Calculate for where f is some differentiable function.

I am not sure if I am doing it right. This is what I have tried so far.

Help please.. - Oct 22nd 2011, 05:37 PMAckbeetRe: Partial Derivatives
I find it always helpful to think of a function as a function of a certain number of independent variables. In this case, f is a function of one variable. I know it's got an x and a y in there, but if it were a function of two variables, I think you'd write as f(x,y) = g(xy), and even then, g would be a function of only one variable. How can that be? Because you could write a new variable u = xy, and then say that z = f(u).

Hence, I think, rather, that

and so on. Does that make sense? - Oct 22nd 2011, 07:54 PMfreestarRe: Partial Derivatives
Ahh makes sense. So the answer would this be the right answer?:

which would be equal to 0? - Oct 24th 2011, 02:15 AMAckbeetRe: Partial Derivatives