Exercise 24

Use the Chain Rule to find the indicated partial derivatives. \(P = \sqrt{u^2 + v^2 + w^2}\), \(u = xe^y\), \(v = ye^x\), \(w = e^{xy}\); find \(\frac{\partial P}{\partial x}\), \(\frac{\partial P}{\partial y}\) when \(x = 0, y = 2\).