Section 14.6: Directional Derivatives & Gradient Vector

For \(f(x, y, z) = y^2e^{xyz}\) at point \(P(0, 1, -1)\) with vector \(u = \langle 3/13, 4/13, 12/13 \rangle\): (a) Find the gradient of f. (b) Evaluate the gradient at the point P. (c) Find the rate of change of f at P in the direction of the vector u.