**Problem Statement:** Calculate \( f_z(3, 6, 9) \), where \( f(x, y, z) = xyz \). \[ f_z(3, 6, 9) = \] In this problem, we are asked to find the partial derivative of the function \( f \) with respect to \( z \) at the point \( (3, 6, 9) \). The function given is \( f(x, y, z) = xyz \). **Steps to Solve:** 1. **Find the Partial Derivative:** First, we need to determine the partial derivative of \( f \) with respect to \( z \): \[ f_z(x, y, z) = \frac{\partial}{\partial z}(xyz) \] 2. **Evaluate the Partial Derivative:** Then we evaluate this derivative at the specified point \( (3, 6, 9) \).

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