I'm given this equation:

w= root(u^2 + v^2)

I'm to find all the second order partial derivatives.

Formulas are swirling in my mind and I need someone to show me at least one first and second order partial derivative step by step so I can make sense of the rest of them. I know how to differentiate but its hard to remember all the details. Do I have to use the Chain Rule?

And remember that this is "partial" differentiation so it is close to but not quite the same as ordinary differentiation.

Thanks for the help.