Section 14.5 Chain Rule

Use the Chain Rule to find the indicated partial derivatives. \(u = x^2e^{y\tau}\), \(x = \alpha^2\beta\), \(y = \beta^2\gamma\), \(\tau = \gamma^2\alpha\); find \(\frac{\partial u}{\partial \alpha}\), \(\frac{\partial u}{\partial \beta}\), \(\frac{\partial u}{\partial \gamma}\) when \(\alpha = -1, \beta = 2, \gamma = 1\).