Section 14.5 Chain Rule

Exercise 15

Suppose \(f\) is a differentiable function of \(x\) and \(y\), and \(g(u, v) = f(e^u + \sin v, e^u + \cos v)\). Use the table of values to calculate \(g_u(0, 0)\) and \(g_v(0, 0)\).