Can Derivative Be Inner When Differentiating with Respect to Inner Variables?

[usn7564]

Have a rather large exercise for a hand in and ran into a small (but important) question.

\frac{d}{du} f(u(x,y), v(x,y))

Will I get an inner derivative here? I'm not sure because I'm not differentiating with respect to x or y.

 

[arildno]

You say you're not sure. But you also make the point that you are not differentiating with respect to inner variables.

So, what do you think is the correct answer to your question?

 

[usn7564]

You say you're not sure. But you also make the point that you are not differentiating with respect to inner variables.

So, what do you think is the correct answer to your question?

I initially assumed I wouldn't get the inner derivatives because I wasn't differentiating with respect to the.. "inner variables". But I can't quite put it down in writing in a way that seems convincing to me, hence the uncertainty.