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I'm mostly trying to understand how the expression in brackets becomes a partial derivative.

I know I end up with 0/0 if I replace all deltaz with 0, so that leads me to belive L'hopitals rule is used here. I just don't see how I could take L hopitals when I have two variables..

I know I end up with 0/0 if I replace all deltaz with 0, so that leads me to belive L'hopitals rule is used here. I just don't see how I could take L hopitals when I have two variables..