Section 14.5 Chain Rule

Exercise 14

Let \(R(s, t) = G(u(s, t), v(s, t))\), where \(G\), \(u\), and \(v\) are differentiable, \(u(1, 2) = 5\), \(u_s(1, 2) = 4\), \(u_t(1, 2) = -3\), \(v(1, 2) = 7\), \(v_s(1, 2) = 2\), \(v_t(1, 2) = 6\), \(G_u(5, 7) = 9\), \(G_v(5, 7) = -2\). Find \(R_s(1, 2)\) and \(R_t(1, 2)\).