Exercise 22

Use the Chain Rule to find the indicated partial derivatives. \(T = \frac{v}{2u+v}\), \(u = p q \sqrt{r}\), \(v = p \sqrt{q} r\); find \(\frac{\partial T}{\partial p}\), \(\frac{\partial T}{\partial q}\), \(\frac{\partial T}{\partial r}\) when \(p = 2, q = 1, r = 4\).